# What is the slope of a line that is perpendicular to a line with a slope of -3/2?

May 4, 2018

$\frac{2}{3}$

#### Explanation:

Perpendicular slopes are opposite reciprocals of one another.

Opposites: put a negative sign in front of one number to find its opposite

Examples:

$6 \rightarrow - 6$

$- \frac{2}{3} \rightarrow - \left(- \frac{2}{3}\right) \rightarrow \frac{2}{3}$

Thus, the opposite of $- \frac{3}{2}$ is $\frac{3}{2}$

Reciprocals: flip the numerator and denominator of the number to find its reciprocal

Examples:

$- 5 \rightarrow \frac{- 5}{1} \rightarrow \frac{1}{- 5} \rightarrow - \frac{1}{5}$

$\frac{3}{4} \rightarrow \frac{4}{3}$

The reciprocal of $\frac{3}{2}$ is $\frac{2}{3}$