Question

example 2: a) find the coordinates of m, the midpoint of $overline{gh}$ for g(8, - 6), and h(-14, 12).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 8,y_1=-6,x_2=-14,y_2 = 12$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{8+( - 14)}{2}=\frac{8 - 14}{2}=\frac{-6}{2}=-3$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{-6 + 12}{2}=\frac{6}{2}=3$.

Answer:

$M(-3,3)$