What is the slope of the line perpendicular to y=-5/12x-5 ?

1 Answer
SagarStudy
Jan 6, 2016

12/5

Explanation:

y=-5/12x-5
Compare y=mx+c
implies m=-5/12
Slope of the given line is -5/12.

Let m' be the slope of line perpendicular to the given line.
If two lines are perpendicular then the product of their slopes is -1.
implies mm'=-1
implies m'=-1/m=-1/(-5/12)=12/5
implies m'=12/5
Therefore, the slope of the line perpendicular to the given line is 12/5.

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