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91Ó°ÊÓ

Find an Equation of a Line Perpendicular to a Given Line

y=-2x+3,(2,2)

Short Answer

Expert verified

The Equation of perpendicular line isy=12x+1

Step by step solution

01

Step 1. Given information

The given Equation isy=-2x+3

02

Step 2. Find the slope of the perpendicular line

hence the slope of the given line is -2

The slope of perpendicular line is12

03

Step 3. Find the y-Intercept

The line passes through the point (2, 2)

we get,

2=12x+c2=1+cc=1

Hence the equation of Perpendicular line is

04

Step 4. The Solution is

The Equation of the line isy=12x+1

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