# What is the slope of a line that is perpendicular to a slope of 8/5?

Aug 3, 2016

$- \frac{5}{8}$

#### Explanation:

Product of slopes of two perpendicular lines is always $- 1$.

Hence slope of a line that is perpendicular to a slope of $\frac{8}{5}$ is given by

$- 1 \div \frac{8}{5}$

= $- 1 \times \frac{5}{8}$

= $- \frac{5}{8}$