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Chapter 3: Q 3.64. (page 289)

Find an equation of a line that is perpendicular to the line x=2that contains the point(2,-1). Write the equation in slope-intercept form.

Short Answer

Expert verified

The equation isy=-1.

Step by step solution

01

Step 1. Find the slope of the perpendicular line.

The given line is x=2. This 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 (2,-1).

(x1,y1)=(2,-1)

The point-slope form is:

localid="1644511173083" y-y1=m(x-x1)y-(-1)=0(x-2)y+1=0y=-1

03

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

The slope-intercept form of the perpendicular liney=-1isy=0x-1.

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