What is the slope of the line perpendicular to # y=-10/3x +12 #?

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Answer 1 · 2018-07-25T20:38:51

The slope perpendicular is #+3/10#

If two lines are perpendicular, then there is a specific relationship between their slopes:

One slope is the negative reciprocal of the other.

The product of their slopes is #-1#

if one is #a/b#, then the other is #-b/a#

For example. #2/3# is perpendicular to #-3/2#

#2/3 xx-3/2 =-1#

In this case the slope is #-10/3#

The slope perpendicular is #+3/10#

#-10/3 xx 3/10 =-1#