Question

question
find the midpoint of the segment with the following endpoints.
(-2,3) and (8,-2)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-2,y_1 = 3,x_2=8,y_2=-2$.

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

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

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

$y=\frac{3+( - 2)}{2}=\frac{3 - 2}{2}=\frac{1}{2}$.

Answer:

$(3,\frac{1}{2})$