Chapter 14.1, Problem 17PSB

To determine

To write an equation for the locus of points equidistant from the given line equations.

Answer to Problem 17PSB

  $x=2.5$

Explanation of Solution

Given:

The lines whose equations are $x=-2$ and $x=7$ .

Calculation:

The following equation will be obtained as follows by using the midpoint formula, given that the equations are of straight, vertical lines.

  $x=\frac{-2+7}{2}=2.5$

The equation of the line is another line that is equidistant from the two.