Question

find the midpoint of the line segment with the given points. (-2, -2) and (-4, -8)

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 $x_1=-2,y_1 = - 2,x_2=-4,y_2=-8$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-2+( - 4)}{2}=\frac{-2 - 4}{2}=\frac{-6}{2}=-3$.

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(-3,-5)$