Objective- To identify the slope and y-intercept
          of a line in standard form.
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8
 -3x        -3x
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8
 -3x        -3x
       2y = -3x + 8
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8
 -3x        -3x
       2y = -3x + 8
        2       2
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8
 -3x        -3x
       2y = -3x + 8
        2        2
         y=  -3 x + 8
              2     2
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8
 -3x        -3x
       2y = -3x + 8
        2        2
         y=  -3 x + 8
              2     2
         y = -3 x + 4
              2
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8
 -3x        -3x
       2y = -3x + 8
        2        2
         y=  -3 x + 8
              2     2
         y = -3 x + 4
              2
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8
 -3x        -3x
       2y = -3x + 8
        2        2
         y=  -3 x + 8
              2     2
         y = -3 x + 4
              2
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8                y = -3 x + 4
 -3x        -3x                    2
       2y = -3x + 8
        2        2
         y=  -3 x + 8
              2     2
         y = -3 x + 4
              2
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8                y = -3 x + 4
 -3x        -3x                    2
       2y = -3x + 8            m=    -3
        2        2                   2
         y=  -3 x + 8
              2     2
         y = -3 x + 4
              2
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8                y = -3 x + 4
 -3x        -3x                    2
       2y = -3x + 8            m=    -3
        2        2                     2
         y=  -3 x + 8           b= 4
              2     2
         y = -3 x + 4
              2
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8                y = -3 x + 4
 -3x        -3x                    2
       2y = -3x + 8            m=    -3
        2        2                     2
         y=  -3 x + 8           b= 4
              2     2
         y = -3 x + 4
              2
 To change Standard Form to Slope-Intercept Form
            just solve the equation for y.
Objective- To identify the slope and y-intercept
          of a line in standard form.
Standard Form            Slope-Intercept Form
 Ax + By = C                 y = mx + b
  3x + 2y = 8                y = -3 x + 4
 -3x        -3x                    2
       2y = -3x + 8            m=    -3
        2        2                     2
         y=  -3 x + 8           b= 4
              2     2
         y = -3 x + 4
              2
 To change Standard Form to Slope-Intercept Form
            just solve the equation for y.
Graph the following equation.
-4x + 3y = 6
Graph the following equation.
-4x + 3y = 6
+4x       +4x
Graph the following equation.
-4x + 3y = 6
+4x       +4x
      3y = 4x + 6
Graph the following equation.
-4x + 3y = 6
+4x       +4x
      3y = 4x + 6
       3     3
Graph the following equation.
-4x + 3y = 6
+4x       +4x
      3y = 4x + 6
       3     3
        y= 4x + 6
           3      3
Graph the following equation.
-4x + 3y = 6
+4x       +4x
      3y = 4x + 6
       3     3
        y= 4x + 6
           3      3
        y= 4x + 2
           3
Graph the following equation.
-4x + 3y = 6
+4x       +4x
      3y = 4x + 6
       3     3
        y= 4x + 6
           3      3
        y= 4x + 2
           3
Graph the following equation.
-4x + 3y = 6
+4x       +4x
      3y = 4x + 6
       3     3
        y= 4x + 6
           3      3
        y= 4x + 2
           3

      m= 4
         3
Graph the following equation.
-4x + 3y = 6
+4x       +4x
      3y = 4x + 6
       3     3
        y= 4x + 6
           3      3
        y= 4x + 2
           3

      m= 4
         3
       b= 2
Graph the following equation.
-4x + 3y = 6
+4x       +4x                   y
      3y = 4x + 6
       3     3
        y= 4x + 6
           3      3
        y= 4x + 2
           3
                                    x
      m= 4
         3
       b= 2
Graph the following equation.
-4x + 3y = 6
+4x       +4x                   y
      3y = 4x + 6
       3     3
        y= 4x + 6
           3      3
        y= 4x + 2
           3
                                    x
      m= 4
         3
       b= 2
Graph the following equation.
-4x + 3y = 6
+4x       +4x                    y
      3y = 4x + 6
       3     3                  +4
        y= 4x + 6
           3      3
        y= 4x + 2
           3
                                     x
      m= 4
         3
       b= 2
Graph the following equation.
-4x + 3y = 6
+4x       +4x                    y   +3
      3y = 4x + 6
       3     3                  +4
        y= 4x + 6
           3      3
        y= 4x + 2
           3
                                          x
      m= 4
         3
       b= 2
Graph the following equation.
-4x + 3y = 6
+4x       +4x                    y   +3
      3y = 4x + 6
       3     3                  +4
        y= 4x + 6
           3      3
        y= 4x + 2
           3
                                          x
      m= 4
         3
       b= 2
Graph the following equation.
-4x + 3y = 6
+4x       +4x                    y   +3
      3y = 4x + 6
       3     3                  +4
        y= 4x + 6
           3      3
        y= 4x + 2
           3
                                          x
      m= 4
         3
       b= 2
Graph the following equation.
-4x + 3y = 6
+4x       +4x                    y   +3
      3y = 4x + 6
       3     3                  +4
        y= 4x + 6
           3      3
        y= 4x + 2
           3
                                          x
      m= 4
         3
       b= 2
Graph the following equation.
-4x + 3y = 6
+4x       +4x                    y   +3
      3y = 4x + 6
       3     3                  +4
        y= 4x + 6
           3      3
        y= 4x + 2
           3
                                          x
      m= 4
         3
       b= 2
Graph the following equation.
 2x + 6y = 3
Graph the following equation.
 2x + 6y = 3
-2x       -2x
Graph the following equation.
 2x + 6y = 3
-2x       -2x
     6y = -2x + 3
Graph the following equation.
 2x + 6y = 3
-2x       -2x
     6y = -2x + 3
      6       6
Graph the following equation.
 2x + 6y = 3
-2x       -2x
     6y = -2x + 3
      6       6
       y = -2 x + 3
            6     6
Graph the following equation.
 2x + 6y = 3
-2x       -2x
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
Graph the following equation.
 2x + 6y = 3
-2x       -2x
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
Graph the following equation.
 2x + 6y = 3
-2x       -2x
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2

      m=   -1
            3
Graph the following equation.
 2x + 6y = 3
-2x       -2x
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2

      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                    x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                    x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                -1   x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                -1   +3
                                          x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                -1   +3
                                          x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                -1   +3
                                          x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                -1   +3
                                          x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                -1   +3
                                          x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                -1   +3
                                          x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
 2x + 6y = 3
-2x       -2x                   y
     6y = -2x + 3
      6       6
       y = -2 x +   3
            6       6
       y = -1 x +   1
            3       2
                                -1   +3
                                          x
      m=   -1
          3
       b= 1
          2
Graph the following equation.
    y=x
Graph the following equation.
    y=x
    y = 1x + 0
Graph the following equation.
    y=x
    y = 1x + 0

     m= 1
Graph the following equation.
    y=x
    y = 1x + 0

     m= 1
     b= 0
Graph the following equation.
    y=x
    y = 1x + 0                  y

     m= 1
     b= 0


                                    x
Graph the following equation.
    y=x
    y = 1x + 0                  y

     m= 1
     b= 0


                                    x
Graph the following equation.
    y=x
    y = 1x + 0                   y

     m= 1
     b= 0

                                +1
                                     x
Graph the following equation.
    y=x
    y = 1x + 0                   y

     m= 1
     b= 0
                                     +1
                                +1
                                          x
Graph the following equation.
    y=x
    y = 1x + 0                   y

     m= 1
     b= 0
                                     +1
                                +1
                                          x
Graph the following equation.
    y=x
    y = 1x + 0                   y

     m= 1
     b= 0
                                     +1
                                +1
                                          x
Graph the following equation.
    y=x
    y = 1x + 0                   y

     m= 1
     b= 0
                                     +1
                                +1
                                          x
Graph the following equation.
    y=x
    y = 1x + 0                   y

     m= 1
     b= 0
                                     +1
                                +1
                                          x
Graph the following equation.
    y=x
    y = 1x + 0                   y

     m= 1
     b= 0
                                     +1
                                +1
                                          x
Graph the following equation.
    y=x
    y = 1x + 0                   y

     m= 1
     b= 0
                                     +1
                                +1
                                          x
Write a linear equation to describe this situation and graph.
      Ralph has $300 and is saving $25 a week.
Write a linear equation to describe this situation and graph.
      Ralph has $300 and is saving $25 a week.
     Let x = # of weeks
Write a linear equation to describe this situation and graph.
      Ralph has $300 and is saving $25 a week.
     Let x = # of weeks       Let y = savings in dollars
Write a linear equation to describe this situation and graph.
      Ralph has $300 and is saving $25 a week.
     Let x = # of weeks       Let y = savings in dollars


   y = 300 + 25x
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value
     y = 300 + 25x
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value       change
     y = 300 + 25x
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value        change
     y = 300 + 25x

      y = mx + b
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value        change
     y = 300 + 25x

      y = mx + b
    Slope
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value        change
     y = 300 + 25x

      y = mx + b
    Slope            Y-intercept
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value        change
     y = 300 + 25x

      y = mx + b
    Slope            Y-intercept
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value        change
     y = 300 + 25x

      y = mx + b
    Slope            Y-intercept
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value          change
     y = 300 + 25x

      y = mx + b
    Slope             Y-intercept

              m = $25 / week
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x

      y = mx + b
    Slope                Y-intercept

              m = $25 / week
              b = 300
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x

      y = mx + b
    Slope                Y-intercept

              m = $25 / week
              b = 300
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x

      y = mx + b

                                       Savings
    Slope                Y-intercept

              m = $25 / week
              b = 300
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0

                                                       Weeks
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
                                                       0   1   2     3     4   5
                                                                   Weeks
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
                                                       0   1   2     3     4   5
                                                                   Weeks
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
                                                       0   1   2     3     4   5
                                                                   Weeks
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
                                                       0   1   2     3     4   5
                                                                   Weeks
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
                                                       0   1   2     3     4   5
                                                                   Weeks
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
                                                       0   1   2     3     4   5
                                                                   Weeks
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
                                                       0   1   2     3     4   5
                                                                   Weeks
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
                                                       0   1   2     3     4   5
                                                                   Weeks
Write a linear equation to describe this situation and graph.
       Ralph has $300 and is saving $25 a week.
      Let x = # of weeks       Let y = savings in dollars
Start value             change
     y = 300 + 25x                               500
                                                 400
      y = mx + b

                                       Savings
                                                 300
    Slope                Y-intercept
                                                 200
              m = $25 / week                     100
              b = 300                             0
                                                       0   1   2     3     4   5
                                                                   Weeks
Pam received $100 and spends $4 each week.
Pam received $100 and spends $4 each week.
1) Write an equation for the money, y,
she has after x weeks.




2) What are the slope and y-intercept?
Pam received $100 and spends $4 each week.
1) Write an equation for the money, y,
she has after x weeks.

              y = 100 - 4x


2) What are the slope and y-intercept?
Pam received $100 and spends $4 each week.
1) Write an equation for the money, y,
she has after x weeks.

              y = 100 - 4x


2) What are the slope and y-intercept?
                  m = -4
Pam received $100 and spends $4 each week.
1) Write an equation for the money, y,
she has after x weeks.

              y = 100 - 4x


2) What are the slope and y-intercept?
                  m = -4
                  b = 100
Pam received $100 and spends $4 each week.
1) Write an equation for the money, y,
she has after x weeks.

              y = 100 - 4x


2) What are the slope and y-intercept?
                  m = -4
                  b = 100

Finding The Slope And Y Intercept

  • 1.
    Objective- To identifythe slope and y-intercept of a line in standard form.
  • 2.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form
  • 3.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form
  • 4.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C
  • 5.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b
  • 6.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8
  • 7.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 -3x -3x
  • 8.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 -3x -3x 2y = -3x + 8
  • 9.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 -3x -3x 2y = -3x + 8 2 2
  • 10.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 -3x -3x 2y = -3x + 8 2 2 y= -3 x + 8 2 2
  • 11.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 -3x -3x 2y = -3x + 8 2 2 y= -3 x + 8 2 2 y = -3 x + 4 2
  • 12.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 -3x -3x 2y = -3x + 8 2 2 y= -3 x + 8 2 2 y = -3 x + 4 2
  • 13.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 -3x -3x 2y = -3x + 8 2 2 y= -3 x + 8 2 2 y = -3 x + 4 2
  • 14.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 y = -3 x + 4 -3x -3x 2 2y = -3x + 8 2 2 y= -3 x + 8 2 2 y = -3 x + 4 2
  • 15.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 y = -3 x + 4 -3x -3x 2 2y = -3x + 8 m= -3 2 2 2 y= -3 x + 8 2 2 y = -3 x + 4 2
  • 16.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 y = -3 x + 4 -3x -3x 2 2y = -3x + 8 m= -3 2 2 2 y= -3 x + 8 b= 4 2 2 y = -3 x + 4 2
  • 17.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 y = -3 x + 4 -3x -3x 2 2y = -3x + 8 m= -3 2 2 2 y= -3 x + 8 b= 4 2 2 y = -3 x + 4 2 To change Standard Form to Slope-Intercept Form just solve the equation for y.
  • 18.
    Objective- To identifythe slope and y-intercept of a line in standard form. Standard Form Slope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 y = -3 x + 4 -3x -3x 2 2y = -3x + 8 m= -3 2 2 2 y= -3 x + 8 b= 4 2 2 y = -3 x + 4 2 To change Standard Form to Slope-Intercept Form just solve the equation for y.
  • 19.
    Graph the followingequation. -4x + 3y = 6
  • 20.
    Graph the followingequation. -4x + 3y = 6 +4x +4x
  • 21.
    Graph the followingequation. -4x + 3y = 6 +4x +4x 3y = 4x + 6
  • 22.
    Graph the followingequation. -4x + 3y = 6 +4x +4x 3y = 4x + 6 3 3
  • 23.
    Graph the followingequation. -4x + 3y = 6 +4x +4x 3y = 4x + 6 3 3 y= 4x + 6 3 3
  • 24.
    Graph the followingequation. -4x + 3y = 6 +4x +4x 3y = 4x + 6 3 3 y= 4x + 6 3 3 y= 4x + 2 3
  • 25.
    Graph the followingequation. -4x + 3y = 6 +4x +4x 3y = 4x + 6 3 3 y= 4x + 6 3 3 y= 4x + 2 3
  • 26.
    Graph the followingequation. -4x + 3y = 6 +4x +4x 3y = 4x + 6 3 3 y= 4x + 6 3 3 y= 4x + 2 3 m= 4 3
  • 27.
    Graph the followingequation. -4x + 3y = 6 +4x +4x 3y = 4x + 6 3 3 y= 4x + 6 3 3 y= 4x + 2 3 m= 4 3 b= 2
  • 28.
    Graph the followingequation. -4x + 3y = 6 +4x +4x y 3y = 4x + 6 3 3 y= 4x + 6 3 3 y= 4x + 2 3 x m= 4 3 b= 2
  • 29.
    Graph the followingequation. -4x + 3y = 6 +4x +4x y 3y = 4x + 6 3 3 y= 4x + 6 3 3 y= 4x + 2 3 x m= 4 3 b= 2
  • 30.
    Graph the followingequation. -4x + 3y = 6 +4x +4x y 3y = 4x + 6 3 3 +4 y= 4x + 6 3 3 y= 4x + 2 3 x m= 4 3 b= 2
  • 31.
    Graph the followingequation. -4x + 3y = 6 +4x +4x y +3 3y = 4x + 6 3 3 +4 y= 4x + 6 3 3 y= 4x + 2 3 x m= 4 3 b= 2
  • 32.
    Graph the followingequation. -4x + 3y = 6 +4x +4x y +3 3y = 4x + 6 3 3 +4 y= 4x + 6 3 3 y= 4x + 2 3 x m= 4 3 b= 2
  • 33.
    Graph the followingequation. -4x + 3y = 6 +4x +4x y +3 3y = 4x + 6 3 3 +4 y= 4x + 6 3 3 y= 4x + 2 3 x m= 4 3 b= 2
  • 34.
    Graph the followingequation. -4x + 3y = 6 +4x +4x y +3 3y = 4x + 6 3 3 +4 y= 4x + 6 3 3 y= 4x + 2 3 x m= 4 3 b= 2
  • 35.
    Graph the followingequation. -4x + 3y = 6 +4x +4x y +3 3y = 4x + 6 3 3 +4 y= 4x + 6 3 3 y= 4x + 2 3 x m= 4 3 b= 2
  • 36.
    Graph the followingequation. 2x + 6y = 3
  • 37.
    Graph the followingequation. 2x + 6y = 3 -2x -2x
  • 38.
    Graph the followingequation. 2x + 6y = 3 -2x -2x 6y = -2x + 3
  • 39.
    Graph the followingequation. 2x + 6y = 3 -2x -2x 6y = -2x + 3 6 6
  • 40.
    Graph the followingequation. 2x + 6y = 3 -2x -2x 6y = -2x + 3 6 6 y = -2 x + 3 6 6
  • 41.
    Graph the followingequation. 2x + 6y = 3 -2x -2x 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2
  • 42.
    Graph the followingequation. 2x + 6y = 3 -2x -2x 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2
  • 43.
    Graph the followingequation. 2x + 6y = 3 -2x -2x 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 m= -1 3
  • 44.
    Graph the followingequation. 2x + 6y = 3 -2x -2x 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 m= -1 3 b= 1 2
  • 45.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 x m= -1 3 b= 1 2
  • 46.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 x m= -1 3 b= 1 2
  • 47.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 -1 x m= -1 3 b= 1 2
  • 48.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 -1 +3 x m= -1 3 b= 1 2
  • 49.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 -1 +3 x m= -1 3 b= 1 2
  • 50.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 -1 +3 x m= -1 3 b= 1 2
  • 51.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 -1 +3 x m= -1 3 b= 1 2
  • 52.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 -1 +3 x m= -1 3 b= 1 2
  • 53.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 -1 +3 x m= -1 3 b= 1 2
  • 54.
    Graph the followingequation. 2x + 6y = 3 -2x -2x y 6y = -2x + 3 6 6 y = -2 x + 3 6 6 y = -1 x + 1 3 2 -1 +3 x m= -1 3 b= 1 2
  • 55.
    Graph the followingequation. y=x
  • 56.
    Graph the followingequation. y=x y = 1x + 0
  • 57.
    Graph the followingequation. y=x y = 1x + 0 m= 1
  • 58.
    Graph the followingequation. y=x y = 1x + 0 m= 1 b= 0
  • 59.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 x
  • 60.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 x
  • 61.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 +1 x
  • 62.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 +1 +1 x
  • 63.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 +1 +1 x
  • 64.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 +1 +1 x
  • 65.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 +1 +1 x
  • 66.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 +1 +1 x
  • 67.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 +1 +1 x
  • 68.
    Graph the followingequation. y=x y = 1x + 0 y m= 1 b= 0 +1 +1 x
  • 69.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week.
  • 70.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks
  • 71.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars
  • 72.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars y = 300 + 25x
  • 73.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value y = 300 + 25x
  • 74.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x
  • 75.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x y = mx + b
  • 76.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x y = mx + b Slope
  • 77.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x y = mx + b Slope Y-intercept
  • 78.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x y = mx + b Slope Y-intercept
  • 79.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x y = mx + b Slope Y-intercept
  • 80.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x y = mx + b Slope Y-intercept m = $25 / week
  • 81.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x y = mx + b Slope Y-intercept m = $25 / week b = 300
  • 82.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x y = mx + b Slope Y-intercept m = $25 / week b = 300
  • 83.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x y = mx + b Savings Slope Y-intercept m = $25 / week b = 300
  • 84.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0
  • 85.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 Weeks
  • 86.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 0 1 2 3 4 5 Weeks
  • 87.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 0 1 2 3 4 5 Weeks
  • 88.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 0 1 2 3 4 5 Weeks
  • 89.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 0 1 2 3 4 5 Weeks
  • 90.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 0 1 2 3 4 5 Weeks
  • 91.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 0 1 2 3 4 5 Weeks
  • 92.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 0 1 2 3 4 5 Weeks
  • 93.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 0 1 2 3 4 5 Weeks
  • 94.
    Write a linearequation to describe this situation and graph. Ralph has $300 and is saving $25 a week. Let x = # of weeks Let y = savings in dollars Start value change y = 300 + 25x 500 400 y = mx + b Savings 300 Slope Y-intercept 200 m = $25 / week 100 b = 300 0 0 1 2 3 4 5 Weeks
  • 95.
    Pam received $100and spends $4 each week.
  • 96.
    Pam received $100and spends $4 each week. 1) Write an equation for the money, y, she has after x weeks. 2) What are the slope and y-intercept?
  • 97.
    Pam received $100and spends $4 each week. 1) Write an equation for the money, y, she has after x weeks. y = 100 - 4x 2) What are the slope and y-intercept?
  • 98.
    Pam received $100and spends $4 each week. 1) Write an equation for the money, y, she has after x weeks. y = 100 - 4x 2) What are the slope and y-intercept? m = -4
  • 99.
    Pam received $100and spends $4 each week. 1) Write an equation for the money, y, she has after x weeks. y = 100 - 4x 2) What are the slope and y-intercept? m = -4 b = 100
  • 100.
    Pam received $100and spends $4 each week. 1) Write an equation for the money, y, she has after x weeks. y = 100 - 4x 2) What are the slope and y-intercept? m = -4 b = 100