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Chapter 3: Q 3.63. (page 289)

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

Short Answer

Expert verified

The equation isy=-5.

Step by step solution

01

Step 1. Find the slope of the perpendicular line.

The given line is x=4. The line is a vertical line.

So its perpendicular line will be a horizontal line.

Therefore, the slope of the perpendicular line is zero.

02

Step 2. Identify the point and substitute the values into the point-slope form

The given point is (4,-5).

(x1,y1)=(4,-5)

The point-slope form is:

y-y1=m(x-x1)y-(-5)=0(x-4)y+5=0y=-5

03

Step 3. Write the equation in slope-intercept form

The slope-intercept form of the perpendicular liney=-5isy=0x-5.

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Most popular questions from this chapter

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

(5, 2) and (-1, 2)

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

x-y=1

Find the x- and y-intercepts.

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

-1,-2,2,5.

Graph the equation y=x4+2by plotting points.
See all solutions

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