Students would be able to plot points in rectangular coordinate system

2. Ordered pairs are used to locate
points in a coordinate plane.
x-axis (horizontal
axis)
origin (0,0)
y-axis (vertical axis)
5
5
-5
-5

3. In an ordered pair, the first number is
the x-coordinate. The second number
is the y-coordinate.
Graph. (-3, 2)
•
5
5
-5
-5

4. The x-axis and y-axis separate the
coordinate plane into four
regions, called quadrants.
II
(-, +)
I
(+, +)
IV
(+, -)
III
(-, -)

5. Origin (0,0)
(3,-2)
(-4,0)
Quandrant IV
(+, - )
Quandrant III
(-, - )
Quandrant II
(-, + )
Quandrant I
(+, + )
Origin (0,0)
(3,-2)
(-4,0)
Quandrant IV
(+, - )
Quandrant III
(-, - )
Quandrant II
(-, + )
Quandrant I
(+, + )

6. 1. I
2. II
3. III
4. IV
5. None – x-axis
6. None – y-axis

7. 1. I
2. II
3. III
4. IV
5. None – x-axis
6. None – y-axis

8. 1. I
2. II
3. III
4. IV
5. None – x-axis
6. None – y-axis

9. Example 1: Give the coordinates of the point.
J
I
H
G
F
E
D
C
BA
(-4,3) (0,3)
(1,4)
(1,0)
(5,1)
(3,-4)
(0,-3)
(-4,-4)
(-3,0) (0,0)

10. Example 2: Plot the point in a coordinate plane.
Describe the location of the point.
a) A(-4,9) b) B(5,0) c) C(0,-8) d) D(7, -2)
A(-4,9)
B(5,0)
C(0,-8)
D(7,-2)

11. x y = ½x + 1 y
-4 y = ½(-4) + 1
-2 y = ½(-2) + 1
0 y = ½(0) + 1
2 y = ½(2) + 1
4 y = ½(4) + 1
Example 3: Graph the function y = ½x + 1 with the
following values of x: -4, -2, 0, 2, and 4.
Step 1: Make a table
x y = ½x + 1 y
-4 y = ½(-4) + 1
-2 y = ½(-2) + 1
0 y = ½(0) + 1
2 y = ½(2) + 1
4 y = ½(4) + 1
x y = ½x + 1 y
-4 y = ½(-4) + 1 -1
-2 y = ½(-2) + 1 0
0 y = ½(0) + 1 1
2 y = ½(2) + 1 2
4 y = ½(4) + 1 3

13. What is the ordered pair for A?
1. (3, 1)
2. (1, 3)
3. (-3, 1)
4. (3, -1)
5
5
-5
-5
• A

14. What is the ordered pair for C?
1. (0, -4)
2. (-4, 0)
3. (0, 4)
4. (4, 0)
5
5
-5
-5
• C