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

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

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Answer 1 · 2016-01-06T19:03:46

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

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