Chapter 10.5, Problem 24E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 9 to 24, find an equation of the line described. Leave the solution in the form
*.

The line is the perpendicular bisector of the line segment that joins (-4, 5) and (1, 1).

To determine

**To answer:**

Find the equation of the line which is the perpendicular bisector of the line segment that joins (-4, 5) and (1, 1).

Explanation

The midpoint of the line segment *M* that joins (-4, 5) and (1, 1) is calculated as follows,

Let

Let

The slope

Now,

Substitute

So,

Since slope of the unknown line is perpendicular to the line segment

Then

The unknown line equation can be found using its slope

Now,

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