# What is the slope of a line that is perpendicular to a slope of #1/3#?

##### 2 Answers

Mar 23, 2018

#### Answer:

-3

#### Explanation:

Perpendicular slopes are opposite reciprocals of each other.

Opposites: positive vs negative

The perpendicular slope of a positive slope must be negative, and vice versa.

Reciprocals: multiplicative inverses (the numbers will multiply to 1)

Examples of reciprocals:

The opposite of

Mar 23, 2018

#### Answer:

#### Explanation:

The slope of two perpendicular lines are negative reciprocals of each other. That means that you flip the fraction upside down and take the opposite of it. The reciprocal of