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Lesson 3-2
Graph points on the coordinate plane.
Find the horizontal and vertical distances.
x-axis
origin
y-axis
II Quadrant I Quadrant
III Quadrant IV Quadrant
+–
+
–
Graph points on the coordinate plane.
y-axis
x-axis
Example: Identify the quadrant that contains each Location
Zoo
Mall
Hospital
Post office
Zoo
Mall
Hospital
Post Office
Library
Library
Quadrant II
Quadrant I
Quadrant IV
No Quadrant
No Quadrant
CinemaCinema Quadrant III
A (4, 3)
x-coordinate y-coordinate
Step1: Start at the origin
Step2: Move 4 units right
and 3 units up
Step3: Plot the point
y-axis
x-axis4
3
A (4, 3)
Ordered pair
B (-5, 1)
x-coordinate y-coordinate
Step1: Start at the origin
Step2: Move -5 units left
and 1 units up
Step3: Plot the point
y-axis
x-axis-5
1
B (-5, 1)
Ordered pair
C (-3, -2)
x-coordinate y-coordinate
Step1: Start at the origin
Step2: Move -3 units left
and -2 units down
Step3: Plot the point
y-axis
x-axis-3-2
C (-3, -2)
Ordered pair
D (0, 6)
x-coordinate y-coordinate
Step1: Start at the origin
Step2: Move 6 units up
Step3: Plot the point
y-axis
x-axis
6
D (0, 6)Ordered pair
E (-4, 0)
x-coordinate y-coordinate
Step1: Start at the origin
Step2: Move -4 units left
Step3: Plot the point
y-axis
x-axis
E (-4, 0)
Ordered pair
y-axis
x-axis
A (– 4, 5)
B (2, – 3)
C (– 6, – 4)
D (7, 3)
A
B
C
D
F (0 , –7)
E (5, 0) E
F
Example: Graph the following points
G (0.7 , 4.2)
G
H (-6.5 , 2 ⁴⁄⁵)
H
y-axis
x-axis
Example: Give the Coordinates and the quadrant of each Location
Zoo ( , )
Mall ( , )
Hospital ( , )
Post office ( , )
Zoo
Mall
Hospital
Post Office
Library ( , )
Library
-4 2
3 5
6 -5
6 0
0 -1
Cinema ( , ) -5 -6
Cinema
Homework
Page 126
#s (1 -all- 14)
Give the Coordinates and the quadrant of each point
G ( , )
H ( , )
J ( , )
K ( , )
L ( , )
0 3
-1 5
2 -4
3 2
-2 5
M ( , ) -4 -3
G
H
J
K
L
M
19)
20)
21)
22)
23)
24)
No Quadrant
II
IV
I
II
III
Give the Coordinates and the quadrant of each point
Lesson 3.2 ..Exercises page 126Lesson 3.2 ..Exercises page 126
A 25) )5.6,3
12(
B26) )2.4,7.0(
C27) )7,1(
D28) )0,7.2(
E 29) )7,3
14(
F 30) )5,2(
G 31) )3,0(
H 32) )3,5.6(
A
B
C
D
E
F
G H
Finding Horizontal distance (distance on the x-axis)Given two points and
distance = 12 xx K ( , ) 2 5
–2–4–6–8–10–12 12108642
2
4
6
8
10
12
–12
–10
–8
–6
–4
–2
L ( , ) 3 5
23 11
Given two points and
distance = 12 xx A ( , ) -2 -2 B ( , ) 4 -2
)2(4 24
66
2 3
-2 4
Find the horizontal and vertical distances.
Finding Vertical distance (distance on the y-axis)
Given two points and
distance = 12 yy K ( , ) 6 12
–2–4–6–8–10–12 12108642
2
4
6
8
10
12
–12
–10
–8
–6
–4
–2
L ( , ) 6 4
412 88
Given two points and
distance = 12 yy A ( , ) 2 8 B ( , ) 2 -6
)6(8 68
1414
12 4
-68
Homework
Page 126
#s (33 -all- 36)
x
y
8–8 16 24–16–240
8
16
24
–8
–16
–24
Find the distance between each pair of points
A(-16, 4)
Lesson 3.2 ..Exercises page 127Lesson 3.2 ..Exercises page 127
BandA33)
CandB34)
B(-4, 4)
C(-4, -16)
12 xxd
)16()4(
164
12
12
12 yyd
)4()16(
20
20
x
y
8–8 16 24–16–240
8
16
24
–8
–16
–24
Find the distance between each pair of points
Lesson 3.2 ..Exercises page 127Lesson 3.2 ..Exercises page 127
DandC35)
EandD36)
C(-4, -16) D(12, -16)
E(12, 12)
12 xxd
)4()12(
412
16
12 yyd
)16()12(
28
28
1612