Find the slope of any line perpendicular to the line passing through (−4,8) and (2,−7)

InjegoIrrenia1mk

InjegoIrrenia1mk

Answered question

2022-11-08

Find the slope of any line perpendicular to the line passing through (−4,8) and (2,−7)

Answer & Explanation

Haylie Park

Haylie Park

Beginner2022-11-09Added 14 answers

The rule of perpendicular lines is that the product of the slopes of perpendicular lines must be −1. In other words, they are opposite reciprocals of each other.
First, you want to find the slope of this line:
- 7 - 8 2 - - 4 = - 7 - 8 2 + 4 = - 15 6
Since the slope of this line is - 15 6 , to get the perpendicular line, we take the reciprocal of this slope:
- 6 15
Then, we change the sign from a negative to a positive sign:
6 15

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