# What are the intercepts of the line #y=9/2x - 4#?

##### 1 Answer

May 9, 2018

#### Answer:

The y-intercept for the given line is

The x-intercept is

#### Explanation:

Find the intercepts:

This is a linear equation in slope-intercept form:

where:

**Y-intercept: value of #y# when #x=0#.**

By definition, the y-intercept for the given line is

**X-intercept: value of #x# when #y=0#.**

Substitute

Add

Multiply both sides by

Divide both sides by

The x-intercept is

You can graph the given line by plotting the x- and y-intercepts and drawing a straight line through them.

graph{y=9/2x-4 [-9.77, 10.23, -7.61, 2.39]}