Question

An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is

A) x = -3/2
B) x = 0
C) x = 3/2
D) X = 3
E) X = 6
Help please with steps

Answer 1

Explanation:

Given

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

Open bracket

Next, determine the slope of the given endpoints.

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

In this case:

So:

Since the slope is
, the equation is:

Where:

Recall that:

So:

Hence, the equation is: