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

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