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Chapter 4: Q. 472 (page 540)

Find an Equation of a Line Perpendicular to a Given Line

y=34x-2,point-3,4

Short Answer

Expert verified

The Equation of a Line Perpendicular to a Given Line isy=-43x

Step by step solution

01

Step 1. Given Information

The Given Equation isy=34x-2

02

Step 2. Find the slope of perpendicular Line

The slope of Given line is 34

The slope of perpendicular line is-43

03

Step 3. find y- intercept

The line passes through the point -3,4

We get,

y=-43x+c4=-43-3+c4=4+cc=0

Hence The Equation of line perpendicular to a given line isy=-43x

04

Step 4. The Solution

The Equation of line perpendicular isy=-43x

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