Find the slope of a line parallel and perpendicular to the line going through: (−7,−3) and (6,8)

Hunter Shah

Hunter Shah

Answered question

2022-10-16

Find the slope of a line parallel and perpendicular to the line going through: (−7,−3) and (6,8)

Answer & Explanation

Remington Wells

Remington Wells

Beginner2022-10-17Added 13 answers

First, find the slope of the line going through the two points. 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 = 8 - - 3 6 - - 7 = 8 + 3 6 + 7 = 11 13
A line parallel to this line will have the same slope as this line. Therefore, the slope of a parallel line will be: m = 11 13
Let's call the slope of a perpendicular line m p . The slope of a perpendicular line is:
m p = - 1 m
Therefore, the slope of a perpendicular line is: m p = - 13 11

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