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