# How do you find the x and y intercepts of #3x-4y-10=0#?

##### 2 Answers

The intercepts are at

#### Explanation:

Finding the intercepts is a very easy and very useful skill to develop for drawing graphs. It is particularly handy for linear programming.

All along the

All along the

To find the

To find the

The only time this does not work is if the graph goes through the origin.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

For the

For the

The intercepts are at

The x-intercept is

The y-intercept is

See the explanation for the process.

#### Explanation:

Find x and y intercepts. The x-intercept is the point where

**Given**

**X-intercept**

Substitute

Simplify.

Add

Simplify.

Divide both sides by

The x-intercept is

**Y-intercept**

Substitute

Simplify.

Add

Divide both sides by

Simplify.

The y-intercept is

Use the graph below to check the x and y intercepts.

graph{3x-4y-10=0 [-16.02, 16, -8.01, 8.01]}