1. Graphing Linear Equations1

2. Graphing Using a Table
Linear equation get their name from the fact that their graphs are straight lines.
To Graph a Linear Equation
Rewrite the equation in Function Form, if necessary.
Choose a few values of x. Substitute to find corresponding y values. A table can be used to organize values.
Plot the points. Draw a line through the points. 2

3. Graph of y + 2 = 3x Step 3 Step 1 - Rewrite y = 3x  2 Step 2 x-2
y = 3(-2)  2 -8 -1
y = 3(-1)  2 -5
y = 3(0)  2 1
y = 3(1)  2 2
y = 3(2)  2 4

4. Graphing Using a Table Example: Graph the equation y = – x + 3
Step 1 – Rewrite in Function Form. -5 x y 5
(2, 5)
No need - Already in function form.
(1, 4)
(0, 3)
(1, 2)
Step 2 – Chose x values & create table.
(2, 1) x
y = – x + 3 y -2
y = -(-2)+3 5 -1 1 2 4

5. Graphing Using a Table Example: Graph the equation 8x + 2y = 6
Step 1 – Rewrite in Function Form.
Step 2 – Chose x values &
create table. x y

6. Graphing Using a Table Example: Graph the equation 2x - 2y = 4
Step 1 – Rewrite in Function Form. x y
Step 2 – Chose x values &
create table. x y -1 1