# How do you find the slope that is perpendicular to the line #-15 +3y = -12x#?

##### 1 Answer

See a solution process below:

#### Explanation:

First, we need to find the slope of the line in the problem. We can transform this equation into Standard Linear form. The standard form of a linear equation is:

Where, if at all possible,

The slope of an equation in standard form is:

Therefore, the slope of the line in the problem is:

Let's call the slope of a perpendicular line:

The slope of a perpendicular line is the negative inverse of the slope of the line it is perpendicular to.:

Substituting gives: