# What is the slope of the line perpendicular to the line y=-5x+9?

Feb 5, 2015

Remember that the slopes of perpendicular lines are negative reciprocals.

First find the slope of your original equation. Since y=-5x+ 9 is written in slope intercept form, $y = m x + b$, we find that the slope is $- 5$

Now find the negative reciprocal of $- 5$

We can rewrite $- 5$ as $- \frac{5}{1}$.

The negative reciprocal of this will be $\frac{1}{5}$

Thus the slope of the line perpendicular to the line $y = - 5 x + 9$ is $\frac{1}{5}$