The document discusses ordered pairs and their use in graphing points on a coordinate plane. It explains that an ordered pair consists of an x-coordinate and y-coordinate, separated by a comma. The x-axis and y-axis intersect at the origin (0,0) and divide the plane into four quadrants, labeled I, II, III, and IV. Points in the plane are located based on their ordered pair coordinates and quadrant.

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