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Chapter 3: Q 3.66. (page 290)

Find an equation of a line that is perpendicular to the line y=-5that contains the point (-4,-5). Write the equation in slope-intercept form.

Short Answer

Expert verified

The equation of the perpendicular line isx=-4.

Step by step solution

01

Step 1. Given information

The given line isy=-5.

We have to find out the equation of the perpendicular line that contains the point(-4,-5).

02

Step 2. Find the equation of the perpendicular line

y=-5is a horizontal line. Any line perpendicular to it must be a vertical line, in the form x=a.

Since the perpendicular line is vertical and as it passes through the point (-4,-5), every point on it has an x-coordinate of -4.

So the equation of the perpendicular line isx=-4.

03

Step 3. Write the equation in slope-intercept form.

Since there is no y,in the equation line x=-4, we cannot write it in slope-intercept form.

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Most popular questions from this chapter

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

3,-6,2,-2.

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

-1,-2,2,5.

Graph the equationsy=5x,y=5.

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

y=2and y=6

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

y=23x-1
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