# What is the perpendicular slope of 3?

Mar 21, 2018

$- \frac{1}{3}$

#### Explanation:

Perpendicular slopes are opposite reciprocals of each other.

Opposites: negative versus positive

3 is a positive number; therefore, its perpendicular slope must be negative

Reciprocals: multiplicative inverse (the two reciprocals must multiply to 1)

The reciprocal of 3 is $\frac{1}{3}$ (to find a reciprocal: flip the numerator and denominator)

$\frac{3}{1} \rightarrow$ The numerator is 3, the denominator is 1

$\frac{1}{3} \rightarrow$ The numerator is 1, the denominator is 3

$3 \cdot \frac{1}{3} = 1$