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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter B, Problem 45E

To determine

**To calculate: **To find the equation of the perpendicular bisector of the line segment joining the points

Expert Solution

The equation of perpendicular bisector is

**Given information: **Points are

**Formula Used:**

The mid-point of the line segment from

Product of the slope of perpendicular line is equal to

Perpendicular bisector of a line segment is a line that is perpendicular to the line segment and passes through the mid-point of the line segment

Slope of the line passing through the points

Equation of line having slope

**Calculation:**

Points are given as follows:

Slope of the line segment is calculated as

Let us assume that slope of line perpendicular to above line is

Since theProduct of the slope of perpendicular line is equal to

Thus,

Substituting the values,

Mid-point of the line segment joining above two points is calculated as

Substituting the values,

Thus, the perpendicular bisector passes through the point

Now, equation of perpendicular bisector is

**Conclusion:**

Hence, equation of perpendicular bisector is