# What is the slope of the line perpendicular to  y=3/8-6 ?

Mar 20, 2016

slope=$- \frac{8}{3}$

#### Explanation:

I'm assuming you meant $y = \frac{3}{8} x - 6$.
$\frac{3}{8}$ is the slope of the line.

To find the slope of the line perpendicular to this line, you need to take the negative reciprocal of the slope.

In this case, the negative reciprocal of $\frac{3}{8}$ is $- \frac{8}{3}$.

Therefore, the slope of the line perpendicular to this line would be $- \frac{8}{3}$.