Question

find the coordinates of the midpoint of $overline{xy}$ for $x(-2, 3)$, and $y(-8, -9)$.

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-2,y_1 = 3,x_2=-8,y_2=-9$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-2+( - 8)}{2}=\frac{-2 - 8}{2}=\frac{-10}{2}=-5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{3+( - 9)}{2}=\frac{3 - 9}{2}=\frac{-6}{2}=-3$.

Answer:

$(-5,-3)$