Find the slope of any line perpendicular to the line passing through (−21,2) and (−32,5)

Francis Oliver 2022-10-18 Answered
Find the slope of any line perpendicular to the line passing through (−21,2) and (−32,5)
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Answers (1)

Travis Sellers
Answered 2022-10-19 Author has 18 answers
First we need to find the slope of the line passing through the points: (−21,2) and (−32,5), the slope m between the points:
( x 1 , y 1 ) and ( x 2 , y 2 ) is given by:
m = y 2 - y 1 x 2 - x 1 , so in this case:
m = 5 - 2 - 32 - ( - 21 ) , simplifying we get:
m = 3 - 32 + 21 = 3 - 11 = - 3 11
Now the perpendicular lines have slopes that are negative reciprocals, so if m 1 and m 2 are the slopes of the two perpendicular lines then:
m 2 = - 1 m 1 , therefore in this case:
m 2 = - 1 - 3 11 = 11 3
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