Chapter 10.2, Problem 28E

To determine

To calculate mid-point of the segment.

Answer to Problem 28E

  $\left(\frac{-3}{2},\frac{-15}{2}\right)$

Explanation of Solution

Given Information: $(-7,5)$ , $(4,-20)$

Formula Used:Mid-point theorem $x=\frac{x_1+x_2}{2}$ , $y=\frac{y_1+y_2}{2}$

Calculation:

Let mid-point be $(x,y)$

End-points: $(-7,5)$ , $(4,-20)$

To find mid-point of x:

  $x=\frac{x_1+x_2}{2}$

  $x=\frac{-7+4}{2}$

  $x=\frac{-3}{2}$

To find mid-point of y:

  $y=\frac{y_1+y_2}{2}$

  $y=\frac{5-20}{2}$

  $y=\frac{-15}{2}$

Mid-Point $(x,y)$ = $\left(\frac{-3}{2},\frac{-15}{2}\right)$