What is the slope of a line that is perpendicular to a slope of $\frac{1}{3}$ $1/3$ ?

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What is the slope of a line that is perpendicular to a slope of $\frac{1}{3}$ $1/3$ ?

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Answer 1 · 2018-03-23T00:43:34

-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:

$2, \frac{1}{2} \to$ $2, 1/2 rarr$ $2 \cdot \frac{1}{2} = 1$ $2*1/2=1$

$\frac{1}{3}, 3 \to$ $1/3, 3 rarr$ $\frac{1}{3} \cdot 3 = 1$ $1/3*3=1$

The opposite of $\frac{1}{3}$ $1/3$ is $- \frac{1}{3}$ $-1/3$ , the reciprocal of $- \frac{1}{3}$ $-1/3$ is $- 3$ $-3$ .

Answer 2 · 2018-03-23T00:47:26

$- 3$ $-3$

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 $\frac{1}{3}$ $1/3$ is $3$ $3$ . The opposite of $3$ $3$ is $- 3$ $-3$ . So the slope is $- 3$ $-3$ .

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What is the slope of a line that is perpendicular to a slope of $\frac{1}{3}$ $1/3$ ?

2 Answers

Explanation:

Explanation:

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