1. 9-7 Graphing Points in
the Coordinate Plane
Algebra & Functions 1.4

2. Coordinate Grid

3. Coordinate Grid

4. Coordinate Grid

5. Coordinate Grid
x-axis

6. Coordinate Grid
x-axis

7. Coordinate Grid
x-axis
y-axis

8. Coordinate Grid
y-axis
x-axis

9. Coordinate Grid
y-axis
0
x-axis

10. Coordinate Grid
y-axis
0 +1 +2 +3 +4 +5
x-axis

11. Coordinate Grid
y-axis
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis

12. Coordinate Grid
y-axis
+5
+4
+3
+2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis

13. Coordinate Grid
y-axis
+5
+4
+3
+2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
-5

14. Coordinate Grid
y-axis
+5
+4
+3
+2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
-5

15. Coordinate Grid
y-axis
+5
+4
+3
+2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
-5

16. Coordinate Grid
y-axis
+5
+4
+3
+2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5

17. Ordered Pair

18. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)

19. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.

20. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.

21. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)

22. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)
Think:

23. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)
Think: (x,y)

24. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)
Think: (x,y)

25. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)
Think: (x,y)

26. Coordinate Grid
y-axis
+5
+4
+3
+2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5

27. Coordinate Grid
The treasure is 3
y-axis
units of the left of
+5
the origin. +4
+3
( -3, y ) +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5

28. Coordinate Grid
The treasure is 3
y-axis
units of the left of
+5
the origin. +4
+3
( -3, y ) +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5

29. Coordinate Grid
The treasure is 3 The treasure is 5
y-axis
units of the left of units of the down
+5
the origin. +4 from the origin.
+3
( -3, y ) +2 ( -3, -5 )
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5

30. Coordinate Grid
The treasure is 3 The treasure is 5
y-axis
units of the left of units of the down
+5
the origin. +4 from the origin.
+3
( -3, y ) +2 ( -3, -5 )
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5

31. Coordinate Grid
y-axis
+5
+4
+3
X +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
-5

32. Coordinate Grid
y-axis
+5
+4
+3
X +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
The “X” is 4 units of -2
-3
the left of the origin.
-4
-5
(-4,y)

33. Coordinate Grid
y-axis
+5
+4
+3
X +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
The “X” is 4 units of -2
-3
the left of the origin.
-4
-5
(-4,y)

34. Coordinate Grid
y-axis
+5
+4
+3
X +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
The “X” is 2 units of
The “X” is 4 units of -2
-3 the up above the
the left of the origin.
-4 origin.
-5
(-4,y)
(-4,+2)

35. Coordinate Grid
y-axis
+5
+4
+3
X +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
The “X” is 2 units of
The “X” is 4 units of -2
-3 the up above the
the left of the origin.
-4 origin.
-5
(-4,y)
(-4,+2)

36. Coordinate Grid
(x,y)
y-axis
+5
+4
+3
+2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
-5

37. Coordinate Grid
(x,y)
y-axis
A
+5
+4
B +3
+2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1 D
-2
-3
C -4
-5

38. (x,y) Coordinate Grid
y-axis
+5
E +4
F +3
G +2
H +1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
-1
(-5, -2) -2
(-2, +2) -3
(+3, -3) -4
Move 5 units to the
-5
left from origin.
What point is this?

39. (x,y) Coordinate Grid
y-axis
H K
+5
E +4
F N +3
G +2 E
H I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?

40. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F N +3
G +2 E
H I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?

41. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G +2 E
H I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?

42. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?

43. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?

44. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?

45. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) pt. P -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?

46. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) pt. P -2 Q
(-2, +2) pt. N -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?

47. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) pt. P -2 Q
(-2, +2) pt. N -3
(+3, -3) pt. Q F -4
Move 5 units to the
-5
left from origin.
What point is this?

48. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) pt. P -2 Q
(-2, +2) pt. N -3
(+3, -3) pt. Q F -4
Move 5 units to the
-5
left from origin.
What point is this? pt. I

49. M Coordinate Grid
N
y-axis
Q
R +5
S +4
T +3
(-2,+1) +2
(+5,+1) +1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1
(+1,-3) -2
(+4,-5) -3
(-3,-4) -4
Move 5 units down
-5
from origin.
What point is this? pt. X

50. M Coordinate Grid
N
y-axis
Q
R +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

51. M (+3,+2) Coordinate Grid
N
y-axis
Q
R +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

52. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q
R +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

53. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

54. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

55. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

56. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

57. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

58. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

59. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) pt. X x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

60. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) pt. X x-axis
-1 R
(+1,-3) pt. D -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

61. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) pt. X x-axis
-1 R
(+1,-3) pt. D -2 D
(+4,-5) pt. P Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

62. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) pt. X x-axis
-1 R
(+1,-3) pt. D -2 D
(+4,-5) pt. P Q T -3
(-3,-4) pt. T -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X

63. Review
+3
+2
+1
-3 -2 -1 0 +1 +2 +3
-1
-2
-3

64. Review
Ordered pairs (x,y)
+3
+2
+1
-3 -2 -1 0 +1 +2 +3
-1
-2
-3

65. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
-3 -2 -1 0 +1 +2 +3
-1
-2
-3

66. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
-1
-2
-3

67. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3

68. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down

69. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
(-3,0) negative x moves it left

70. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
(-3,0) negative x moves it left

71. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down

72. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
(+3,0) positive x moves it right

73. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
(+3,0) positive x moves it right

74. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down

75. Review
(0,-3) negative y moves it down
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down

76. Review
(0,-3) negative y moves it down
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down

77. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down

78. Review
(0,+3) positive y moves it up
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down

79. Review
(0,+3) positive y moves it up
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down

80. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down