Find the slope that is perpendicular to the line x+y=−3

powerinojSs

powerinojSs

Answered question

2022-11-22

Find the slope that is perpendicular to the line x+y=−3

Answer & Explanation

bocescGXN

bocescGXN

Beginner2022-11-23Added 8 answers

First, we need to transform this equation to the slope-intercept form by solving for y.
The slope-intercept form of a linear equation is:
y=mx+b
Where m is the slope and b is the y-intercept value.
x+y=−3
x−x+y=−x−3
0+y=−x−3
y=−1x−3
Therefore the slope of this line is −1.
A line perpendicular to the line in the problem with have a slope which is the negative inverse of the slope of given line or - 1 m
Substituting the slope we obtained of −1 for m gives:
- 1 - 1 = 1
The slope of a perpendicular line will have a slope of 1

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