# How do you find the slope that is perpendicular to the line y=6x+1?

Feb 22, 2017

See the entire explanation below:

#### Explanation:

This equation is in the slope intercept form. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

Therefore the slope of the line for the equation in the problem is:

$\textcolor{red}{m = 6}$

A line perpendicular to the line in problem will have a slope (let's call it ${m}_{p}$) which is the negative inverse of the slope of this line. Or:

${m}_{p} = - \frac{1}{m}$

Or, substituting the slope for the line in the problem gives:

${m}_{p} = - \frac{1}{6}$