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Chapter 3: Q 215. (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-3=0Point:(-2,-4)

Short Answer

Expert verified

the equation in slope-intercept form:

x=-2

Step by step solution

01

Step 1. Given Data

Line:y-3=0Point:(-2,-4)

02

Step 2. Find the slope of the given line.

The line is in slope-intercept form:

y-3=0y=3ory=0x+3y=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�isnotdefined.

04

Result

Anylineperpendiculartoitmustbevertical,intheformx=a.Since,theperpendicularlineisverticalandpassesthrough(鈭�2,-4),everypointonithasanx-coordinateof鈭�2.Theequationoftheperpendicularlineisx=-2.

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Most popular questions from this chapter

Find the intercepts of the graph

.

In the following exercise, determine the most convenient method to graph each line

3x-2y=-12

Graph the equation 3x-y=-6using the intercepts.

Use the slope formula to find the slope of the line between each pair of points.

-2,-1,6,5.

Find the equation of the line shown in each graph and write the equation in slope-intercept form.
See all solutions

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