Question

question find the midpoint of the segment with the following endpoints. (-9, -2) and (-1, -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 $x_1=-9,y_1 = - 2,x_2=-1,y_2=-8$.

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

$x=\frac{-9+( - 1)}{2}=\frac{-9 - 1}{2}=\frac{-10}{2}=-5$.

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

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

Answer:

$(-5,-5)$