9-10 Writing Equations
    Algebra and Functions 1.5
Skills Needed:
Skills Needed:
Recognizing patterns
Skills Needed:
Recognizing patterns




+3
x y
4
0
2
Skills Needed:
   Recognizing patterns
Before: You were
 given the rule.


    +3
    x y
    4
    0
    2
Skills Needed:
   Recognizing patterns
Before: You were
 given the rule.


    +    3
    x        y
    4        7
    0        3
    2        5
Skills Needed:
   Recognizing patterns
Before: You were
 given the rule.


    +    3                    ?
    x        y            x       y
    4        7            2       7
    0        3            3       8
    2        5            4       9
Skills Needed:
   Recognizing patterns
Before: You were                  Today: You find a
 given the rule.                  pattern to FIND
                                     THE RULE.

    +    3                    ?
    x        y            x       y
    4        7            2       7
    0        3            3       8
    2        5            4       9
Skills Needed:
   Recognizing patterns
Before: You were                  Today: You find a
 given the rule.                  pattern to FIND
                                     THE RULE.

    +    3                    ?
    x        y            x       y
    4        7            2       7 2+5=7
    0        3            3       8
    2        5            4       9
Skills Needed:
   Recognizing patterns
Before: You were                  Today: You find a
 given the rule.                  pattern to FIND
                                     THE RULE.

    +    3                    ?
    x        y            x       y
    4        7            2       7 2+5=7
    0        3            3       8 3+5=8
    2        5            4       9
Skills Needed:
   Recognizing patterns
Before: You were                  Today: You find a
 given the rule.                  pattern to FIND
                                     THE RULE.

    +    3                    ?
    x        y            x       y
    4        7            2       7 2+5=7
    0        3            3       8 3+5=8
    2        5            4       9 4+5=9
Skills Needed:
   Recognizing patterns
Before: You were                  Today: You find a
 given the rule.                  pattern to FIND
                                     THE RULE.

    +    3                    ?
    x        y            x       y
    4        7            2       7 2+5=7
    0        3            3       8 3+5=8
    2        5            4       9 4+5=9
Skills Needed:
   Recognizing patterns
Before: You were              Today: You find a
 given the rule.              pattern to FIND
                                 THE RULE.

    +    3
    x        y            x   y
    4        7            2   7 2+5=7
    0        3            3   8 3+5=8
    2        5            4   9 4+5=9
Skills Needed:
   Recognizing patterns
Before: You were               Today: You find a
 given the rule.               pattern to FIND
                                  THE RULE.

    +    3                 +   5
    x        y            x     y
    4        7            2     7 2+5=7
    0        3            3     8 3+5=8
    2        5            4     9 4+5=9
Skills Needed:
   Recognizing patterns
Before: You were                    Today: You find a
 given the rule.                    pattern to FIND
                   The Rule!           THE RULE.

    +    3                      +   5
    x        y                 x     y
    4        7                 2     7 2+5=7
    0        3                 3     8 3+5=8
    2        5                 4     9 4+5=9
Skills Needed:
   Recognizing patterns
Before: You were                    Today: You find a
 given the rule.                    pattern to FIND
                   The Rule!           THE RULE.

    +    3                      +   5
    x        y                 x     y
    4        7                 2     7 2+5=7
    0        3                 3     8 3+5=8
    2        5                 4     9 4+5=9
     The equation is written y = x + 5.
x   -3 -2 -1   0   1   2   3
y   -6 -5 -4 -3 -2     1   0
Rewrite      x   -3 -2 -1   0   1   2   3
vertically.
              y   -6 -5 -4 -3 -2     1   0
Rewrite      x   -3 -2 -1   0   1   2   3
vertically.
              y   -6 -5 -4 -3 -2     1   0
     ?
-3    -6
-2    -5
-1    -4
 0    -3
 1    -2
 2    -1
 3     0
Rewrite       x   -3 -2 -1   0   1   2   3
vertically.
               y   -6 -5 -4 -3 -2     1   0
     ?         Use number lines to help find
-3    -6      a pattern to identify the RULE.
-2    -5
-1    -4
 0    -3
 1    -2
 2    -1
 3     0
Rewrite      x   -3 -2 -1   0   1   2   3
vertically.
              y   -6 -5 -4 -3 -2     1   0
     ?
-3    -6
-2    -5
-1    -4
 0    -3
 1    -2
 2    -1
 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?
-3    -6
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



-1    -4
 0    -3
 1    -2
 2    -1
 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?
-3    -6
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



-1    -4
 0    -3
 1    -2
 2    -1
 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



-1    -4
 0    -3
 1    -2
 2    -1
 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



-1    -4
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 1    -2
 2    -1
 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



-1    -4
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 1    -2
 2    -1
 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 1    -2
 2    -1
 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 1    -2
 2    -1      -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 1    -2
 2    -1      -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 1    -2                                                       left - 3
 2    -1      -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 3     0
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 1    -2                                                       left - 3
 2    -1      -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 3     0
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 1    -2                                                       left - 3
 2    -1      -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


 3     0
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
     ?                                                          moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 1    -2                                                       left - 3
 2    -1      -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 3     0                                                       left - 3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0

                                                                moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 1    -2                                                       left - 3
 2    -1      -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 3     0                                                       left - 3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
 -    3
                                                                moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 1    -2                                                       left - 3
 2    -1      -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 3     0                                                       left - 3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     -6 -5 -4 -3 -2                 1       0
 -    3
                                                                moves
-3    -6                                                       left - 3
-2    -5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
-1    -4                                                       left - 3
 0    -3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 1    -2                                                       left - 3
 2    -1      -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 3     0                                                       left - 3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


         The equation is written y = x - 3.
x   -3 -2 -1    0   1   2   3
y   2   3   4   5   6   7   8
Rewrite      x   -3 -2 -1    0   1   2   3
vertically.
              y   2   3   4   5   6   7   8
Rewrite      x   -3 -2 -1    0   1   2   3
vertically.
              y   2   3   4   5   6   7   8
    ?
 -3     2
 -2     3
 -1     4
  0     5
  1     6
  2     7
  3     8
Rewrite       x   -3 -2 -1    0   1   2   3
vertically.
               y   2   3   4   5   6   7   8
    ?          Use number lines to help find
 -3     2     a pattern to identify the RULE.
 -2     3
 -1     4
  0     5
  1     6
  2     7
  3     8
Rewrite      x   -3 -2 -1    0   1   2   3
vertically.
              y   2   3   4   5   6   7   8
    ?
 -3     2
 -2     3
 -1     4
  0     5
  1     6
  2     7
  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?
 -3     2
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



 -1     4
  0     5
  1     6
  2     7
  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?
 -3     2
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



 -1     4
  0     5
  1     6
  2     7
  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



 -1     4
  0     5
  1     6
  2     7
  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



 -1     4
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  1     6
  2     7
  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7



 -1     4
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  1     6
  2     7
  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
 -1     4                                                      right
                                                                +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  1     6
  2     7
  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
 -1     4                                                      right
                                                                +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  1     6
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
 -1     4                                                      right
                                                                +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  1     6
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
 -1     4                                                      right
                                                                +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
  1     6                                                      right
                                                                +5
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  3     8
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
 -1     4                                                      right
                                                                +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
  1     6                                                      right
                                                                +5
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  3     8
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
 -1     4                                                      right
                                                                +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
  1     6                                                      right
                                                                +5
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7


  3     8
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                          moves
 -3     2                                                      right
                                                                +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
 -1     4                                                      right
                                                                +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
  1     6                                                      right
                                                                +5
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                               moves
  3     8                                                      right
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7        +5
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
    ?                                                           moves
 -3     2                                                       right
                                                                 +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 -1     4                                                       right
                                                                 +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
  1     6                                                       right
                                                                 +5
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
                                                           +8   moves
  3     8                                                       right
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7         +5
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8

                                                                moves
 -3     2                                                       right
                                                                 +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 -1     4                                                       right
                                                                 +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
  1     6                                                       right
                                                                 +5
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
                                                           +8   moves
  3     8                                                       right
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7         +5
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
  +   5                                                         moves
 -3     2                                                       right
                                                                 +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 -1     4                                                       right
                                                                 +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
  1     6                                                       right
                                                                 +5
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
                                                           +8   moves
  3     8                                                       right
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7         +5
Rewrite      x     -3 -2 -1           0     1     2       3
vertically.
              y     2      3     4     5     6     7       8
  +   5                                                         moves
 -3     2                                                       right
                                                                 +5
 -2     3
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
 -1     4                                                       right
                                                                 +5
  0     5
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7

                                                                moves
  1     6                                                       right
                                                                 +5
  2     7     -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
                                                           +8   moves
  3     8                                                       right
              -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7         +5

          The equation is written y = x + 5.
Write an equation to describe the
 relationship between x and y.
Write an equation to describe the
      relationship between x and y.

x      y
-2     8
-1     9
0      10
1      11
2      12
Write an equation to describe the
      relationship between x and y.

x      y           x    y
-2     8           -2   -4
-1     9           -1   -3
0      10          0    -2
1      11          1    -1
2      12          2    0
Write an equation to describe the
      relationship between x and y.

x      y           x    y           x    y
-2     8           -2   -4          -2   4
-1     9           -1   -3          -1   5
0      10          0    -2          0    6
1      11          1    -1          1    7
2      12          2    0           2    8
Write an equation to describe the
       relationship between x and y.

 x      y           x    y           x    y
 -2     8           -2   -4          -2   4
 -1     9           -1   -3          -1   5
 0      10          0    -2          0    6
  1     11          1    -1          1    7
 2      12          2    0           2    8


y = x + 10
Write an equation to describe the
       relationship between x and y.

 x      y           x    y           x    y
 -2     8           -2   -4          -2   4
 -1     9           -1   -3          -1   5
 0      10          0    -2          0    6
  1     11          1    -1          1    7
 2      12          2    0           2    8


y = x + 10
Write an equation to describe the
       relationship between x and y.

 x      y           x    y           x    y
 -2     8           -2   -4          -2   4
 -1     9           -1   -3          -1   5
 0      10          0    -2          0    6
  1     11          1    -1          1    7
 2      12          2    0           2    8


y = x + 10
Write an equation to describe the
       relationship between x and y.

 x      y           x    y           x    y
 -2     8           -2   -4          -2   4
 -1     9           -1   -3          -1   5
 0      10          0    -2          0    6
  1     11          1    -1          1    7
 2      12          2    0           2    8


y = x + 10         y=x-2
Write an equation to describe the
       relationship between x and y.

 x      y           x    y           x    y
 -2     8           -2   -4          -2   4
 -1     9           -1   -3          -1   5
 0      10          0    -2          0    6
  1     11          1    -1          1    7
 2      12          2    0           2    8


y = x + 10         y=x-2
Write an equation to describe the
       relationship between x and y.

 x      y           x    y           x    y
 -2     8           -2   -4          -2   4
 -1     9           -1   -3          -1   5
 0      10          0    -2          0    6
  1     11          1    -1          1    7
 2      12          2    0           2    8


y = x + 10         y=x-2
Write an equation to describe the
       relationship between x and y.

 x      y           x    y           x    y
 -2     8           -2   -4          -2   4
 -1     9           -1   -3          -1   5
 0      10          0    -2          0    6
  1     11          1    -1          1    7
 2      12          2    0           2    8


y = x + 10         y=x-2           y=x+6
Write an equation to describe the
       relationship between x and y.

 x      y           x    y           x    y
 -2     8           -2   -4          -2   4
 -1     9           -1   -3          -1   5
 0      10          0    -2          0    6
  1     11          1    -1          1    7
 2      12          2    0           2    8


y = x + 10         y=x-2           y=x+6
Write an equation to describe the
       relationship between x and y.

 x      y           x    y           x    y
 -2     8           -2   -4          -2   4
 -1     9           -1   -3          -1   5
 0      10          0    -2          0    6
  1     11          1    -1          1    7
 2      12          2    0           2    8


y = x + 10         y=x-2           y=x+6

9-10 Writing Equations

  • 1.
    9-10 Writing Equations Algebra and Functions 1.5
  • 2.
  • 3.
  • 4.
  • 5.
    Skills Needed: Recognizing patterns Before: You were given the rule. +3 x y 4 0 2
  • 6.
    Skills Needed: Recognizing patterns Before: You were given the rule. + 3 x y 4 7 0 3 2 5
  • 7.
    Skills Needed: Recognizing patterns Before: You were given the rule. + 3 ? x y x y 4 7 2 7 0 3 3 8 2 5 4 9
  • 8.
    Skills Needed: Recognizing patterns Before: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 0 3 3 8 2 5 4 9
  • 9.
    Skills Needed: Recognizing patterns Before: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 2+5=7 0 3 3 8 2 5 4 9
  • 10.
    Skills Needed: Recognizing patterns Before: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9
  • 11.
    Skills Needed: Recognizing patterns Before: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
  • 12.
    Skills Needed: Recognizing patterns Before: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 ? x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
  • 13.
    Skills Needed: Recognizing patterns Before: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
  • 14.
    Skills Needed: Recognizing patterns Before: You were Today: You find a given the rule. pattern to FIND THE RULE. + 3 + 5 x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
  • 15.
    Skills Needed: Recognizing patterns Before: You were Today: You find a given the rule. pattern to FIND The Rule! THE RULE. + 3 + 5 x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9
  • 16.
    Skills Needed: Recognizing patterns Before: You were Today: You find a given the rule. pattern to FIND The Rule! THE RULE. + 3 + 5 x y x y 4 7 2 7 2+5=7 0 3 3 8 3+5=8 2 5 4 9 4+5=9 The equation is written y = x + 5.
  • 18.
    x -3 -2 -1 0 1 2 3 y -6 -5 -4 -3 -2 1 0
  • 19.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0
  • 20.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? -3 -6 -2 -5 -1 -4 0 -3 1 -2 2 -1 3 0
  • 21.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? Use number lines to help find -3 -6 a pattern to identify the RULE. -2 -5 -1 -4 0 -3 1 -2 2 -1 3 0
  • 22.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? -3 -6 -2 -5 -1 -4 0 -3 1 -2 2 -1 3 0
  • 23.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? -3 -6 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 -4 0 -3 1 -2 2 -1 3 0
  • 24.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? -3 -6 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 -4 0 -3 1 -2 2 -1 3 0
  • 25.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 -4 0 -3 1 -2 2 -1 3 0
  • 26.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 -4 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 3 0
  • 27.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 -4 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 3 0
  • 28.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 3 0
  • 29.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0
  • 30.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 -2 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0
  • 31.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0
  • 32.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
  • 33.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 0 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
  • 34.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 ? moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 0 left - 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
  • 35.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 0 left - 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
  • 36.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 - 3 moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 0 left - 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
  • 37.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y -6 -5 -4 -3 -2 1 0 - 3 moves -3 -6 left - 3 -2 -5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 -4 left - 3 0 -3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 -2 left - 3 2 -1 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 0 left - 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 The equation is written y = x - 3.
  • 39.
    x -3 -2 -1 0 1 2 3 y 2 3 4 5 6 7 8
  • 40.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8
  • 41.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? -3 2 -2 3 -1 4 0 5 1 6 2 7 3 8
  • 42.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? Use number lines to help find -3 2 a pattern to identify the RULE. -2 3 -1 4 0 5 1 6 2 7 3 8
  • 43.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? -3 2 -2 3 -1 4 0 5 1 6 2 7 3 8
  • 44.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? -3 2 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 1 6 2 7 3 8
  • 45.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? -3 2 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 1 6 2 7 3 8
  • 46.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 1 6 2 7 3 8
  • 47.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 3 8
  • 48.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 -1 4 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 3 8
  • 49.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 3 8
  • 50.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8
  • 51.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 1 6 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8
  • 52.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8
  • 53.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
  • 54.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 3 8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7
  • 55.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5
  • 56.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 ? moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +8 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5
  • 57.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +8 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5
  • 58.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 + 5 moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +8 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5
  • 59.
    Rewrite x -3 -2 -1 0 1 2 3 vertically. y 2 3 4 5 6 7 8 + 5 moves -3 2 right +5 -2 3 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves -1 4 right +5 0 5 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 moves 1 6 right +5 2 7 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +8 moves 3 8 right -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6+7 +5 The equation is written y = x + 5.
  • 60.
    Write an equationto describe the relationship between x and y.
  • 61.
    Write an equationto describe the relationship between x and y. x y -2 8 -1 9 0 10 1 11 2 12
  • 62.
    Write an equationto describe the relationship between x and y. x y x y -2 8 -2 -4 -1 9 -1 -3 0 10 0 -2 1 11 1 -1 2 12 2 0
  • 63.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8
  • 64.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8 y = x + 10
  • 65.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8 y = x + 10
  • 66.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8 y = x + 10
  • 67.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8 y = x + 10 y=x-2
  • 68.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8 y = x + 10 y=x-2
  • 69.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8 y = x + 10 y=x-2
  • 70.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8 y = x + 10 y=x-2 y=x+6
  • 71.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8 y = x + 10 y=x-2 y=x+6
  • 72.
    Write an equationto describe the relationship between x and y. x y x y x y -2 8 -2 -4 -2 4 -1 9 -1 -3 -1 5 0 10 0 -2 0 6 1 11 1 -1 1 7 2 12 2 0 2 8 y = x + 10 y=x-2 y=x+6