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Chapter 3: Q 216. (page 293)

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form.

Line:y-6=0Point:(-5,-3)

Short Answer

Expert verified

The equation in slope-intercept form:

x=-5

Step by step solution

01

Step 1. Given Data

Line:y-6=0Point:(-5,-3)

02

Step 2. Find the slope of the given line.

The line is in slope-intercept form:

y-6=0y=6ory=0x+6y=mx+cWecansee,m=0

03

Step 3. Find the slope of the perpendicular line.

The slopes of Perpendicular lines are negative reciprocals.

Therefore,

m鈯�=-10m鈯�isundefined.

04

Result

Theequationy=6isahorizontalline.Anylineperpendiculartoitmustbevertical,intheformx=a.Since,theperpendicularlineisverticalandpassesthrough(鈭�5,-3),everypointonithasanx-coordinateof鈭�5.Theequationoftheperpendicularlineisx=-5.

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Most popular questions from this chapter

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