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Lesson 3-2

Lesson 3-2. Graphing on a coordinate Plane. You'll Learn how to. Graph points on the coordinate plane. Find the horizontal and vertical distances. Graph points on the coordinate plane. y -axis. II Quadrant. I Quadrant. +. –. +. x -axis. origin. –. III Quadrant. IV Quadrant.

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Lesson 3-2

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  1. Lesson3-2 Graphing on a coordinate Plane You'll Learn how to Graph points on the coordinate plane. Find the horizontal and vertical distances.

  2. Graph points on the coordinate plane. y-axis II Quadrant IQuadrant + – + x-axis origin – III Quadrant IV Quadrant

  3. y-axis x-axis Example:Identify the quadrant that contains each Location Zoo Quadrant II Mall Mall Quadrant I Zoo Hospital Quadrant IV Post Office Post office No Quadrant Library Cinema Cinema Quadrant III Hospital Library No Quadrant

  4. y-axis x-axis Ordered pair A(4, 3) x-coordinate y-coordinate A(4, 3) Step1: Start at the origin 3 Step2: Move 4 units right and 3 units up 4 Step3: Plot the point

  5. y-axis x-axis Ordered pair B(-5, 1) x-coordinate y-coordinate Step1: Start at the origin B(-5, 1) Step2: Move -5 units left 1 and 1 units up -5 Step3: Plot the point

  6. y-axis x-axis Ordered pair C(-3, -2) x-coordinate y-coordinate Step1: Start at the origin Step2: Move -3 units left and -2 units down -3 -2 Step3: Plot the point C(-3, -2)

  7. y-axis x-axis Ordered pair D(0, 6) D(0, 6) x-coordinate y-coordinate 6 Step1: Start at the origin Step2: Move 6 units up Step3: Plot the point

  8. y-axis x-axis Ordered pair E(-4, 0) x-coordinate y-coordinate Step1: Start at the origin E(-4, 0) Step2: Move -4 units left Step3: Plot the point

  9. y-axis x-axis Example:Graph the following points A (– 4, 5) A G B (2, – 3) D H C (– 6, – 4) D (7, 3) E (5, 0) E F (0 , –7) B G(0.7 , 4.2) C H(-6.5 , 2 ⁴⁄⁵) F

  10. y-axis x-axis Example: Give the Coordinates and the quadrant of each Location Mall Zoo( , ) -4 2 Mall( , ) 3 5 Zoo Post Office Hospital( , ) 6 -5 Post office( , ) 6 0 Library Cinema( , ) -5 -6 Hospital Library( , ) 0 -1 Cinema

  11. Homework Page 126 #s (1 -all-14)

  12. Give the Coordinates and the quadrant of each point 19) G( , ) 0 3 No Quadrant L H 20) H( , ) II -1 5 G 21) K J( , ) 2 -4 IV 22) K( , ) 3 2 I L( , ) -2 23) 5 II J M -4 -3 24) M( , ) III

  13. A H E B 25) A 26) B 27) C 28) D D E 29) F 30) 31) G 32) H C G F Lesson 3.2 ..Exercises page 126 Give the Coordinates and the quadrant of each point

  14. 12 10 8 6 4 2 –12 –10 –8 –6 –4 –2 2 4 6 8 10 12 –2 –4 –6 –8 –10 –12 Find the horizontal and vertical distances. Finding Horizontal distance (distance on the x-axis) Given two points and K( , ) L( , ) 2 2 5 3 3 5 distance = Given two points and -2 4 A( , ) B( , ) -2 -2 4 -2 distance =

  15. 12 10 8 6 4 2 –12 –10 –8 –6 –4 –2 2 4 6 8 10 12 –2 –4 –6 –8 –10 –12 Finding Vertical distance (distance on the y-axis) Given two points and K( , ) L( , ) 6 12 12 6 4 4 distance = Given two points and 8 -6 A( , ) B( , ) 2 8 2 -6 distance =

  16. Homework Page 126 #s (33 -all-36)

  17. y 24 16 8 x 0 –24 –16 –8 8 16 24 –8 –16 –24 Lesson 3.2 ..Exercises page 127 Find the distance between each pair of points 33) A(-16, 4) B(-4, 4) 34) C(-4, -16)

  18. y 24 16 8 x 0 –24 –16 –8 8 16 24 –8 –16 –24 Lesson 3.2 ..Exercises page 127 Find the distance between each pair of points 35) E(12, 12) 36) D(12, -16) C(-4, -16)

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