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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter B, Problem 42E

To determine

**To show:** The lines

Expert Solution

The point of the intersection is

**Formula used:**

The two lines with slopes

**Calculation:**

It is enough to show that

Find the slope of the line

Therefore, the slope is

Find the slope of the line

Therefore, the slope is

Here,

From the given formula, the given two lines are perpendicular.

Hence, it is proved that the lines

In order to find the intersection of their points, equate the equations (1) and (2) as follows.

On further simplification,

Now substitute

Therefore, the point of the intersection is