Chapter 13, Problem 16RP

To determine

To find: The coordinate of the point for the given condition.

Answer to Problem 16RP

Thecoordinate for the point is C is $\left(2,2\right)$ .

Explanation of Solution

Given:

The given point is $\left(-5,0\right)$ and $\left(7,8\right)$ .

Calculation:

The objective is to find the coordinate for the point one forth away from the given point.

The formula for the midpoint is,

  $M=\left(\frac{\left(x_1+x_2\right)}{2},\frac{\left(y_1+y_2\right)}{2}\right)$

Then, the midpoint is,

  $\begin{array}{c}M=\left(\frac{\left(-5,7\right)}{2},\frac{\left(0+8\right)}{2}\right)\\ =\left(1,4\right)\end{array}$

The coordinate for the point one forth away from the given point is,

  $\left(\frac{\left(-5+1\right)}{2},\frac{\left(0+4\right)}{2}\right)=\left(2,2\right)$