Transcript Lesson 3-2 Graph points on the coordinate plane. Find the horizontal and vertical distances.

Lesson 3-2
Graph points on the coordinate plane.
Find the horizontal and vertical distances.
Graph points on the coordinate plane.
y-axis
II Quadrant
I Quadrant
+
–
+
origin
III Quadrant
–
IV Quadrant
x-axis
Example: Identify the quadrant that contains each Location
y-axis
Zoo
Quadrant II
Mall
Mall
Quadrant I
Zoo
Hospital
Quadrant IV
Post Office
x-axis
Post office No Quadrant
Library
Cinema
Quadrant III
Cinema
Hospital
Library
No Quadrant
y-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
x-axis
y-axis
Ordered pair
B (-5, 1)
x-coordinate
y-coordinate
Step1: Start at the origin
Step2: Move -5 units left
B (-5, 1)
1
and 1 units up
-5
Step3: Plot the point
x-axis
y-axis
Ordered pair
C (-3, -2)
x-coordinate
y-coordinate
Step1: Start at the origin
Step2: Move -3 units left
and -2 units down
-2
-3
Step3: Plot the point
C (-3, -2)
x-axis
y-axis
Ordered pair
D (0, 6)
x-coordinate
D (0, 6)
y-coordinate
Step1: Start at the origin
6
Step2: Move 6 units up
Step3: Plot the point
x-axis
y-axis
Ordered pair
E (-4, 0)
x-coordinate
y-coordinate
Step1: Start at the origin
Step2: Move -4 units left
Step3: Plot the point
E (-4, 0)
x-axis
Example: Graph the following points
y-axis
A (– 4, 5)
A
B (2, – 3)
C (– 6, – 4)
G
D
H
D (7, 3)
E (5, 0)
E
F (0 , –7)
B
G (0.7 , 4.2)
C
H (-6.5 , 2 ⁴⁄⁵)
F
x-axis
Example: Give the Coordinates and the quadrant of each Location
y-axis
Mall
Zoo ( -4 , 2 )
Mall ( 3 , 5 )
Zoo
Post Office
Hospital ( 6 , -5 )
x-axis
Post office ( 6 , 0 )
Library
Cinema ( -5 , -6 )
Hospital
Library ( 0 , -1 )
Cinema
Homework
Page 126
#s (1 -all- 14)
Give the Coordinates and the quadrant of each point
19) G ( 0 , 3 ) No Quadrant
20) H ( -1 , 5 )
L
H
II
G
21) J ( 2 , -4 )
IV
22) K ( 3 , 2 )
I
23) L ( -2 , 5 )
II
K
M
24) M ( -4 , -3 )
III
J
Lesson 3.2 ..Exercises page 126
Give the Coordinates and the quadrant of each point
A
E
1
25) A (2 , 6.5)
3
F
B
26) B (0.7, 4.2)
G
27) C (1, 7)
28) D (2.7, 0)
D
1
3
29) E (4 , 7)
30) F (2, 5)
31) G (0, 3)
32) H (6.5, 3)
C
H
Find the horizontal and vertical distances.
Finding Horizontal distance (distance on the x-axis)
Given two points K (2 , 5 ) and L ( 3 , 5)
distance = x2
 x1
 3 2
1
1
–12
–10
–8
–6
–4
–2
2
–2
Given two points A (-2, -2 ) and B ( 4 , -2 )
 x1
 4  (2)
 42
distance = x2
6
6
–4
–6
–8
–10
–12
4
6
8
10
12
Finding Vertical distance (distance on the y-axis)
Given two points K (6 , 12) and L ( 6 , 4)
distance = y2
 y1
 12  4
8
8
–12
–10
–8
–6
–4
–2
2
–2
Given two points A (2 , 8 ) and B ( 2 , -6 )
distance = y2
 y1
 8  (6)
 86
 14
 14
–4
–6
–8
–10
–12
4
6
8
10
12
Homework
Page 126
#s (33 -all- 36)
Lesson 3.2 ..Exercises page 127
y
Find the distance between each pair of points
33)
A and B
24
d  x2  x1
16
 (4)  (16)
  4  16
 12
8
A(-16, 4)
B(-4, 4)
x
 12
–24
34) B
–16
and C
d  y2  y1
 (16)  (4)
  20
 20
0
–8
–8
C(-4, -16)
–16
–24
8
16
24
Lesson 3.2 ..Exercises page 127
y
Find the distance between each pair of points
35)
C and D
24
d  x2  x1
16
 (12)  (4)
E(12, 12)
 12  4
8
 16
36)
D and E
x
–24
–16
C(-4, -16)
 28
16
D(12, -16)
–16
 12  16
 28
8
–8
d  y2  y1
 (12)  (16)
0
–8
–24
24