# How do you find the slope that is perpendicular to the line #5x - 3y =2#?

##### 1 Answer

#### Answer:

Convert to the slope-intercept form and then, using the slope from this form of the equation, take the negative inverse of the slope.

#### Explanation:

First, we need to find the slope of the line given in the problem. To do this we need to put this equation in the slope-intercept form.

The slope-intercept form of a linear equation is:

Where

We can convert the equation from our problem to this form by solving for

The slope of this line is

For any line with slope

Therefore the slope of a line perpendicular to the line in the problem will be: