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# 9-7 Graphing Points in Coordinate Plane

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• ### 9-7 Graphing Points in Coordinate Plane

1. 1. 9-7 Graphing Points in the Coordinate Plane Algebra & Functions 1.4
2. 2. Coordinate Grid
3. 3. Coordinate Grid
4. 4. Coordinate Grid
5. 5. Coordinate Grid x-axis
6. 6. Coordinate Grid x-axis
7. 7. Coordinate Grid x-axis y-axis
8. 8. Coordinate Grid y-axis x-axis
9. 9. Coordinate Grid y-axis 0 x-axis
10. 10. Coordinate Grid y-axis 0 +1 +2 +3 +4 +5 x-axis
11. 11. Coordinate Grid y-axis-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
12. 12. Coordinate Grid y-axis +5 +4 +3 +2 +1-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
13. 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. 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. 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. 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. 17. Ordered Pair
18. 18. Ordered PairExamples: (+4,-3) (0,+4) (-2,+4)
19. 19. Ordered PairExamples: (+4,-3) (0,+4) (-2,+4)(x,y) The ﬁrst number (x) is the number of units tothe left or right of the origin.
20. 20. Ordered PairExamples: (+4,-3) (0,+4) (-2,+4)(x,y) The ﬁrst number (x) is the number of units tothe left or right of the origin.The second number (y) is the number of units up ordown from the origin.
21. 21. Ordered PairExamples: (+4,-3) (0,+4) (-2,+4)(x,y) The ﬁrst number (x) is the number of units tothe left or right of the origin.The second number (y) is the number of units up ordown from the origin.Origin is always at (0,0)
22. 22. Ordered PairExamples: (+4,-3) (0,+4) (-2,+4)(x,y) The ﬁrst number (x) is the number of units tothe left or right of the origin.The second number (y) is the number of units up ordown from the origin.Origin is always at (0,0) Think:
23. 23. Ordered PairExamples: (+4,-3) (0,+4) (-2,+4)(x,y) The ﬁrst number (x) is the number of units tothe left or right of the origin.The second number (y) is the number of units up ordown from the origin.Origin is always at (0,0) Think: (x,y)
24. 24. Ordered PairExamples: (+4,-3) (0,+4) (-2,+4)(x,y) The ﬁrst number (x) is the number of units tothe left or right of the origin.The second number (y) is the number of units up ordown from the origin.Origin is always at (0,0) Think: (x,y)
25. 25. Ordered PairExamples: (+4,-3) (0,+4) (-2,+4)(x,y) The ﬁrst number (x) is the number of units tothe left or right of the origin.The second number (y) is the number of units up ordown from the origin.Origin is always at (0,0) Think: (x,y)
26. 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. 27. Coordinate Grid The treasure is 3 y-axisunits 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. 28. Coordinate Grid The treasure is 3 y-axisunits 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. 29. Coordinate Grid The treasure is 3 The treasure is 5 y-axisunits 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. 30. Coordinate Grid The treasure is 3 The treasure is 5 y-axisunits 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. 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. 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 -3the left of the origin. -4 -5 (-4,y)
33. 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 -3the left of the origin. -4 -5 (-4,y)
34. 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 thethe left of the origin. -4 origin. -5 (-4,y) (-4,+2)
35. 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 thethe left of the origin. -4 origin. -5 (-4,y) (-4,+2)
36. 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. 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. 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) -4Move 5 units to the -5 left from origin.What point is this?
39. 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 -4Move 5 units to the -5 left from origin.What point is this?
40. 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 -4Move 5 units to the -5 left from origin.What point is this?
41. 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 -4Move 5 units to the -5 left from origin.What point is this?
42. 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 -4Move 5 units to the -5 left from origin.What point is this?
43. 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 -4Move 5 units to the -5 left from origin.What point is this?
44. 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 -4Move 5 units to the -5 left from origin.What point is this?
45. 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 -4Move 5 units to the -5 left from origin.What point is this?
46. 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 -4Move 5 units to the -5 left from origin.What point is this?
47. 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 -4Move 5 units to the -5 left from origin.What point is this?
48. 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 -4Move 5 units to the -5 left from origin.What point is this? pt. I
49. 49. M Coordinate GridN y-axisQR +5S +4T +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) -4Move 5 units down -5 from origin.What point is this? pt. X
50. 50. M Coordinate GridN y-axisQR +5S +4T 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 PMove 5 units down -5 from origin.What point is this? pt. X
51. 51. M (+3,+2) Coordinate GridN y-axisQR +5S +4T 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 PMove 5 units down -5 from origin.What point is this? pt. X
52. 52. M (+3,+2) Coordinate GridN (0,0) y-axisQR +5S +4T 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 PMove 5 units down -5 from origin.What point is this? pt. X
53. 53. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R +5S +4T 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 PMove 5 units down -5 from origin.What point is this? pt. X
54. 54. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R (+4,-2) +5S +4T 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 PMove 5 units down -5 from origin.What point is this? pt. X
55. 55. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R (+4,-2) +5S (-5,+2) +4T 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 PMove 5 units down -5 from origin.What point is this? pt. X
56. 56. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R (+4,-2) +5S (-5,+2) +4T (-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 PMove 5 units down -5 from origin.What point is this? pt. X
57. 57. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R (+4,-2) +5S (-5,+2) +4T (-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 PMove 5 units down -5 from origin.What point is this? pt. X
58. 58. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R (+4,-2) +5S (-5,+2) +4T (-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 PMove 5 units down -5 from origin.What point is this? pt. X
59. 59. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R (+4,-2) +5S (-5,+2) +4T (-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 PMove 5 units down -5 from origin.What point is this? pt. X
60. 60. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R (+4,-2) +5S (-5,+2) +4T (-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 PMove 5 units down -5 from origin.What point is this? pt. X
61. 61. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R (+4,-2) +5S (-5,+2) +4T (-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 PMove 5 units down -5 from origin.What point is this? pt. X
62. 62. M (+3,+2) Coordinate GridN (0,0) y-axisQ (-5,-4)R (+4,-2) +5S (-5,+2) +4T (-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 PMove 5 units down -5 from origin.What point is this? pt. X
63. 63. Review +3 +2 +1 -3 -2 -1 0 +1 +2 +3 -1 -2 -3
64. 64. ReviewOrdered pairs (x,y) +3 +2 +1 -3 -2 -1 0 +1 +2 +3 -1 -2 -3
65. 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. 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. 67. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3
68. 68. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3 Up or Down
69. 69. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3 Up or Down (-3,0) negative x moves it left
70. 70. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3 Up or Down (-3,0) negative x moves it left
71. 71. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3 Up or Down
72. 72. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3 Up or Down (+3,0) positive x moves it right
73. 73. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3 Up or Down (+3,0) positive x moves it right
74. 74. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3 Up or Down
75. 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 +3The “y” determines which -1 direction? -2 -3 Up or Down
76. 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 +3The “y” determines which -1 direction? -2 -3 Up or Down
77. 77. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3 Up or Down
78. 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 +3The “y” determines which -1 direction? -2 -3 Up or Down
79. 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 +3The “y” determines which -1 direction? -2 -3 Up or Down
80. 80. Review Ordered pairs (x,y)The “x” determines which +3 direction? +2 +1 Left or Right -3 -2 -1 0 +1 +2 +3The “y” determines which -1 direction? -2 -3 Up or Down