What is the slope of the line perpendicular to # y=8/11x-4 #?

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What is the slope of the line perpendicular to # y=8/11x-4 #?

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Answer 1 · 2015-11-29T13:37:13

#-11/8#

Explanation:

Let #a_1# be the slope of this line.
#a_1=8/11#.

Let #a_2# be the slope of the line perpendicular to line.

Then, #a_1 a_2=-1#. (this is a property of the slopes of perpendicular lines you need to know, that is, multiplying the slopes of two perpendicular lines should always give you -1).

i.e. #8/11 a_2=-1#

i.e. #a_2 = -11/8#

That's it.

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What is the slope of the line perpendicular to # y=8/11x-4 #?

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