Chapter 9, Problem 18CT

To determine

Tofind:Midpoint of given points

Answer to Problem 18CT

  $M=\left(1,4.5\right)$

Explanation of Solution

Given information:

  $\begin{array}{l}A\left(x_1,y_1\right)=A\left(-2,3\right)\\ B\left(x_2,y_2\right)=B\left(4,6\right)\end{array}$

Concept Used:

Midpoint of two points - $M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

Calculation:

  $\begin{array}{l}M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\\ \Rightarrow M=\left(\frac{-2+4}{2},\frac{3+6}{2}\right)\\ \Rightarrow M=\left(\frac{2}{2},\frac{9}{2}\right)\\ \Rightarrow M=\left(1,4.5\right)\end{array}$