ordered pairs are used to locate points in a coordinate plane. x-axis (horizontal axis) origin (0,0)...
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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
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
The x-axis and y-axis separate the coordinate plane into four regions, called quadrants.
II
(-, +)
I
(+, +)
IV
(+, -)
III
(-, -)
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 (+, + )
1. I2. II3. III4. IV5. None – x-axis6. None – y-axis
1. I2. II3. III4. IV5. None – x-axis6. None – y-axis
1. I2. II3. III4. IV5. None – x-axis6. None – y-axis
Example 1: Give the coordinates of the point.
JI
HG
F
ED
C
BA(-4,3) (0,3)
(1,4)
(1,0)
(5,1)
(3,-4)
(0,-3)
(-4,-4)
(-3,0) (0,0)
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)
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
What is the ordered pair for A?
1. (3, 1)2. (1, 3)3. (-3, 1)4. (3, -1)
5
5
-5
-5
• A
What is the ordered pair for C?
1. (0, -4)2. (-4, 0)3. (0, 4)4. (4, 0)
5
5
-5
-5
• C