Question

use the midpoint formula to determine the midpoint of the given line segment. line segment $ab$ with endpoints $a(-10, - 3)$ and $b(2,-8)$

enter the answer in each space provided. use numbers instead of words.

$( , )$

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify values of $x_1,y_1,x_2,y_2$

Here $x_1=-10,y_1 = - 3,x_2=2,y_2=-8$.

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

$x=\frac{-10 + 2}{2}=\frac{-8}{2}=-4$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{-3+( - 8)}{2}=\frac{-3 - 8}{2}=\frac{-11}{2}=-5.5$.

Answer:

$(-4,-5.5)$