Chapter 1, Problem 18SGR

To determine

To find the coordinates of the midpoint

Answer to Problem 18SGR

  $\left(7,10\right)$

Explanation of Solution

Given information:

  $L\left(-3,16\right),M\left(17,4\right)$

Formula used:

For $X=\frac{x_1^{}+x_2^{}}{2}$ , For $Y=\frac{y_1^{}+y_2^{}}{2}$

Calculation: let $A\left(x,y\right)$ be the midpoint

And coordinates $L\left(-3,16\right)$ be $x_1,y_1$ and $M\left(17,4\right)$ be $x_2,y_2$

Substituting values in the formula

  $x=\frac{-3+17}{2},y=\frac{16+4}{2}$

Solving further

  $x=\frac{14}{2},y=\frac{20}{2}$

Calculating the coordinates

  $x=7,y=10$

Therefore, the coordinates of the midpoints are

  $A\left(7,10\right)$