1. Graphing on a coordinate Plane
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.

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

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

4. A (4, 3) A (4, 3) 3 4 y-axis x-axis Ordered pair 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. B (-5, 1) B (-5, 1) 1 -5 y-axis x-axis Ordered pair 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. C (-3, -2) C (-3, -2) -3 -2 y-axis x-axis Ordered pair 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. D (0, 6) D (0, 6) 6 y-axis x-axis Ordered pair x-coordinate
y-coordinate 6
Step1: Start at the origin
Step2: Move 6 units up
Step3: Plot the point

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

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

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

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

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

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

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

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

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

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