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Chapter 3: Q 3.65. (page 290)

Find an equation of a line that is perpendicular to the line y=1 that contains the point (-5,1). Write the equation in slope-intercept form.

Short Answer

Expert verified

The equation of the perpendicular line isx=-5.

Step by step solution

01

Step 1. Given information

The given line is y=1.

We have to find out the equation of the perpendicular line that contains the point(-5,1).

02

Step 2. Find equation of perpendicular line

y=1is 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 (-5,1), every point on it has an x-coordinate of -5.

So the equation of the perpendicular line is x=-5.

03

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

Since there is no y, in the equation line x=-5, we cannot write it in slope-intercept form.

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Most popular questions from this chapter

Find the x- and y-intercepts.

Graph: f(x) = 鈭�3x 鈭� 1

Use graph of y=3x-1. For each ordered pair, decide :

(a) Is the ordered pair A(0,-1),B(2,5)a solution to the equation.

(b) Is the point A(0,-1),B(2,5)on the line?

Find the intercepts of the equation3x-2y=12.

In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

(7, 1) and (5, 0)
See all solutions

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