SOLUTION: A line has a slope of -2/7 a)what is the slope of the line parallel to it b)what is the slope of the line perpendicular to it

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Question 172171: A line has a slope of -2/7
a)what is the slope of the line parallel to it
b)what is the slope of the line perpendicular to it
Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website!
a) parallel lines always have equal slopes so is the slope
:
b)lines that are perpendicular always have negative inverses of each other meaning when multiplied together =-1
:
so is the slope

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Remember, parallel lines have equal slopes. So this means that

a) the parallel slope is

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Also, recall that the perpendicular slope is simply the negative reciprocal of the given slope. So simply flip to get . Now change the sign to get

b) So the perpendicular slope is