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7 votes
7 votes
A line has a slope of

-(6/5)
(a) What is the slope of the line parallel to it?
(b) What is the slope of the line perpendicular to it?

User Quami
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1 Answer

17 votes
17 votes

a) What is the slope of the line parallel to it?

Parallel lines will never intersect, meaning they have equivalent slopes, so the answer to this part is -(6/5).

b) What is the slope of the line perpendicular to it?

Perpendicular lines will intersect, creating a 90-degree angle, meaning all values in the graphs have been flipped. Thus, the slope of any perpendicular line is the negative reciprocal of the given slope (-1/x). The negative reciprocal of -(6/5) is 5/6, so that is the answer.

User Don Duvall
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2.8k points