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The slope of a line is -1/3. Find the slope of a line that is perpendicular to this line.

User Tomoko
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2 Answers

11 votes

Answer: 3

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

User Stuart Allen
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5.2k points
10 votes

Answer:

Slope = 3

Explanation:

The question is asking us to find the slope of the line that is perpendicular to the line whose slope is -1/3.

Main idea: Perpendicular lines have slopes that are opposite reciprocals.

So our task boils down to finding the opposite reciprocal of -1/3.

First, we change the sign from negative to positive. We get 1/3.

Then, we turn the number over. We get 3.

Therefore, the slope is 3.

User Gopal SA
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4.8k points