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The lines below are perpendicular. If the slope of the green line is -1/6, what is the slope of the red line?

The lines below are perpendicular. If the slope of the green line is -1/6, what is-example-1
User Bun
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2 Answers

2 votes
If the slope of the green line is −¹/₆ and the red line is perpendicular to the green line, then the slope for red line is the negative inverse of the green line. Therefore, the slope of the red line is 6.
User Cfh
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3 votes

Answer:

slope of red line=6

Explanation:

Hi there!

We're given a set of perpendicular lines and the slope of the green line being -1/6

Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1

So to find the slope of the red line, we can use this formula (m is the slope):

-1/6m=-1

Multiply both sides by -6 (clears the fraction to get 1m on the left)

m=6

So the slope of the red line is 6

Hope this helps!

User Sensorario
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