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Chapter 4: Q. 473 (page 540)

Find an Equation of a Line Perpendicular to a Given Line

y=23x-4,(2,-4)

Short Answer

Expert verified

The equation of the perpendicular line isy=-32x-1

Step by step solution

01

Step 1. Given information

The given equation isy=23x-4

02

Step 2.Find the slope of the perpendicular line

Hence the slope of the given line is 23

Then the slope of the perpendicular line is-32

03

Step 3.Find the y- intercept

The line passes through the point(2,-4)

We get,

y=-32x+c

-4=-32(2)+c

c=-1

Hence the equation of the perpendicular line isy=-32x-1

04

Step 4.The solution 

The euation of the line isy=-32x-1

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Most popular questions from this chapter

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located:

鈸� (鈭�2,1) 鈸� (鈭�3,鈭�1) 鈸� (4,鈭�4) 鈸� (鈭�4,4)鈸� (-4,32)

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸� (3,鈭�1)鈸� (鈭�3,1)鈸� (鈭�2,2)鈸� (鈭�4,鈭�3) 鈸�(1,145)

Find the equation of the line shown in the graph.

Find the intercepts for3x-2y=12

In the following exercises, complete the table to find solutions to each linear equation.
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