**Steps for Graphing with the Intercept Method**

- 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.

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