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

Question

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

1 Answer

Impact of this question

2083 views around the world

You can reuse this answer
Creative Commons License

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#.

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question