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Chapter 4: Q. 478 (page 540)

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鈥搃ntercept form.

line y-3=0, point-2,-4

Short Answer

Expert verified

The equation of the line is x=-2.

Step by step solution

01

Step 1. Given Information 

We are given the line y-3=0and point -2,-4. We need to find the line perpendicular to the given line.

02

Step 2. Finding the perpendicular line 

y-3=0is a horizontal line. So the line perpendicular to this given line will be a vertical line.

The perpendicular line passes through -2,-4.

Therefore, the equation of the perpendicular line must be x=-2.

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