1. Function - when every x is paired to one y
Example
(-2, -3), (0,6), (3,6), (4, 9) -2 3 4 -3 6 9 X Y

2. 8-2 Linear Equations in Two Variables
- An equation that has two different variables.
- Makes a straight line when graphed.
- These variables cannot have exponents.
y = 5x + 7
y = x2 - 10

3. When you graph an equation, the line you draw represents every possible correct answer to the equation. • • • •
Imagine an endless number of points side by side - so close together you can’t see the space between them.
SOLUTIONS of Linear Equations
are ordered pairs that make an equation true.

4. LINEAR
LINEAR
NON-LINEAR
LINEAR OR NON-LINEAR????
NON-LINEAR
NON-LINEAR
LINEAR

5. Find four solutions to the equation.
Write your solutions as ordered pairs.
y = 3x - 2
Make a table! X
y= 3x - 2 Y
(x, y) -1
y= 3(-1) - 2 -5
(-1, -5)
y= 3(0) - 2 -2
(0, -2) 1
y= 3(1) - 2
(1, 1) 2
y= 3(2) - 2 4
(2, 4)
Choose ANY numbers you want for X.
Substitute those values for X.
SOLVE!

6. These 4 points are 4 possible solutions to the function.X
y= 3x - 2 Y
(x, y) -1
y= 3(-1) - 2 -5
(-1, -5)
y= 3(0) - 2 -2
(0, -2) 1
y= 3(1) - 2
(1, 1) 2
y= 3(2) - 2 4
(2, 4)
These points can be used to create a graph of the function.
These 4 points are 4 possible solutions to the function.
The line represents EVERY solution.