Question

find the coordinates of the midpoint of a segment with the endpoints (-8,-11) and (2,5).

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 $x_1=-8,y_1 = - 11,x_2=2,y_2 = 5$.

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

$\frac{-8 + 2}{2}=\frac{-6}{2}=-3$

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

$\frac{-11 + 5}{2}=\frac{-6}{2}=-3$

Answer:

$(-3,-3)$