Write a linear equation for the line 2 perpendicular to y =-x – 4, 3 through the point (3,5).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Question
Write a linear equation for the line
perpendicular to y = -x – 4,
%3D
3
through the point (3,5).
Transcribed Image Text:Write a linear equation for the line perpendicular to y = -x – 4, %3D 3 through the point (3,5).
Expert Solution
Step 1

As we know that the equation of the line slope-intercept form:

y=mx+c

Where, m is the slope of the line and c is the y-intercept.

And

we know that the equation of the line passing through the point Px1,y1.

y-y1=mx-x1

 

We also know that, if two lines are perpendicular to each other then the product of the slope of those two lines are equal to -1 or  m1·m2=-1

Given:

y=23x-4

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