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What is the slope of a line that is perpendicular to the line that goes through (5,4) and (-2,-3)?

User N D
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1 Answer

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First, let us solve for the slope of the line which it intersects with:

m’ = (y2 – y1) / (x2 – x1)

m’ = (-3 – 4) / (-2 – 5)

m’ = 1

The slope of the perpendicular line is the negative reciprocal, therefore:

m = - 1 / m’

m = - 1 / 1

m = -1

So the slope of the line is -1.

User Aakash Goel
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