Find the slope of a line perpendicular to V(3, 2), W(8, 5)

Nigro6f

Nigro6f

Answered question

2022-10-20

Find the slope of a line perpendicular to V(3, 2), W(8, 5)

Answer & Explanation

cokeman206

cokeman206

Beginner2022-10-21Added 18 answers

First, find the slope of the line V-W. The slope can be found by using the formula: m = y 2 - y 1 x 2 - x 1
Where m is the slope and x 1 , y 1 and x 2 , y 2 are the two points on the line.
Substituting the values from the points in the problem gives:
m = 5 - 2 8 - 3 = 3 5
Now, let's call the slope of the perpendicular line m p
The slope of a perpendicular line is the negative inverse of the slope of the line it is perpendicular to, or:
m p = - 1 m
Substituting for m gives:
m p = - 1 3 5
m p = - 5 3
The slope of the line perpendicular to V-W is - 5 3

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