# Graphing Linear Equations by Finding Intercepts

Steps for Graphing with the Intercept Method

1. Find the x intercept and the y-intercept.
• To find an x-intercept let y=0 and solve for x.
• To find a y-intercept let x=0 and solve for y.
2. Plot the x-intercept and y-intercept.
3. Draw the line that connects the intercepts.

Example:   Graph the linear equation

Solution:

1. Find the x-intercept and the y-intercept.

To find an x-intercept: Let y=0 and solve for x.

The x-intercept of this equation is

To find a y-intercept: Let x=0 and solve for y.

The y-intercept of this equation is

2. Plot the x-intercept and the y-intercept.

3. Draw the line that connects the intercepts.

Example:   Graph the linear equation

Solution:

1. Find the x-intercept and the y-intercept.

To find an x-intercept: Let y=0 and solve for x.

The x-intercept of this equation is

To find a y-intercept: Let x=0 and solve for y.

The y-intercept of this equation is

Since the x-intercept and the y-intercept are the same point and we need two distinct points to graph a line, we must find another ordered pair that is a solution to the equation.

Let x=1 and find the associated y value. (I chose x=1 but you could choose a different value)

Another ordered pair on the graph is

2. Plot the x-intercept and the y-intercept.

3. Draw the line that connects the intercepts.

Example: Graphing a linear equation with intercepts.

Example: Graphing a linear equation with intercepts.

Example: Graphing a linear equation with intercepts.