# What is the slope of any line perpendicular to the line defined by the equation #y = -4x + 1#?

##### 2 Answers

See a solution process below:

#### Explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

Where

Therefore, the slope of the line represented by the equation in the problem is:

Let's call the slope of a perpendicular line:

The slope of a perpendicular line is:

Substituting gives:

The slope is

#### Explanation:

The perpendicular slope is expressed as the negative reciprocal of the slope or

In this scenario, the slope, or