1. 3-2: The Coordinate Plane
Graphing on a Coordinate Plane

2. Ordered Pair
A pair of numbers that can be used to locate a point on a coordinate plane. Solutions for two variable expressions can be written as an ordered pairs.

3. The four regions formed on a Coordinate Plane.
A plane that is divided into four regions (Quadrants) by horizontal and vertical number lines. Locations on the plane are represented by Ordered Pairs.
Quadrants
The four regions formed on a Coordinate Plane.
Quadrant I: Upper-right region. (+, +)
Quadrant II: Upper-left region. (–, +)
Quadrant III: Lower-left region. (–, –)
Quadrant IV: Lower-right region. (+, –)

4. x-axis
The Horizontal number-line on a coordinate plane.
y-axis
The Vertical number-line on a coordinate plane.

5. Origin
Point (0, 0) on the coordinate plane.

6. Problems/Examples of
Plot the following ordered pairs on the coordinate plane. Name the Quadrant.
A) (2,5)
B) (-2,4)
C) (5,-3)
D) (-1,-5)

7. Problems/Examples of
Determine if each ordered pair is a solution for 4x – 7:
(2, 15): ______
4x – 7
4(2) – 7
8 – 7 1
1 ≠ 15
Not a solution
(4, 9): ______
4x – 7
4(4) – 7
16 – 7 9
9 = 9
Yes; it is a solution.

8. Problems/Examples of
Make a table of solution for y = 3x – 6 for x = 2, 4, 6, 8, and 10.
x 3x – 6 y (x,y)
2 3(2) – 6 0 (2, 0)
4 3(4) – 6 6 (4, 6)
6 3(6) – (6, 12)
8 3(8) – (8, 18)
10 3(10) – (3, 24)

9. D) Write the coordinates of each ordered pair. Name each quadrant.
II;(-2, 5)
X: __________
III;(-4, -7)
Y: __________
IV;(1, -5)
Z: __________
x-axis;(7, 0)
E) If you traveled 5 units down from Point W and 3 units to the right… What are the coordinates of your new location?
(1, 0)

10. Use the given values to make a table of solutions.
Problems/Examples of
Use the given values to make a table of solutions.
y = 4x – 3 for x = 0, 1, 2
x x – 6 y (x,y)
(0) – (0, -6)
3(1) – (1, -3)
3(2) – 6 0 (2, 0)