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Chapter 4: Q. 471 (page 540)

Find an Equation of a Line Perpendicular to a Given Line

y=-x+5,point(3,3)

Short Answer

Expert verified

The equation of the given line perpendicular is y=x

Step by step solution

01

Step 1. Given Information

Given Equation isy=-x+5

02

Step 2. Find the slope of perpendiclular line  

Hence Slope of The given line is -1

The slope of the perpendicular line is localid="1655992031865" 1

03

Find the y-intercept

The line passes through the point 3,3

we get,

y=x+c3=3+cc=0

Hence the equation of the required line is localid="1655992110642" y=x

04

Step 4. The solution

The equation of the required perpendicular line isy=x.

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