question find the midpoint of the segment with the following endpoints. (2,10) and (-8,7)

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 the values of $x_1,y_1,x_2,y_2$

Here $x_1 = 2,y_1=10,x_2=-8,y_2 = 7$.

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

$x=\frac{2+( - 8)}{2}=\frac{2 - 8}{2}=\frac{-6}{2}=-3$.

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

$y=\frac{10 + 7}{2}=\frac{17}{2}=8.5$.

Answer:

$(-3,8.5)$