Find the slope of the line perpendicular to y=−13/2x−5

Jefferson Booth

Jefferson Booth

Answered question

2022-11-06

Find the slope of the line perpendicular to y = - 13 2 x - 5

Answer & Explanation

zastenjkcy

zastenjkcy

Beginner2022-11-07Added 14 answers

The equation for the line in the problem is in slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
y = - 13 2 x - 5
Therefore the slope of this line is: m = - 13 2
Let's call the slope of a perpendicular line: m p
The slope of a line perpendicular to a line with slope m is the negative inverse, or:
m p = - 1 m
Substituting the slope for the line in the problem gives:
m p = - 1 - 13 2 = 2 13

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