Question

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

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

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

$x=\frac{-7+( - 10)}{2}=\frac{-7 - 10}{2}=\frac{-17}{2}=-8.5$.

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

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

Answer:

$(-8.5,3)$