Question

find the midpoint of the segment with the given endpoints. (-8,0) 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 $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-8,y_1 = 0,x_2 = 10,y_2=-2$.

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

$x=\frac{-8 + 10}{2}=\frac{2}{2}=1$.

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

$y=\frac{0+( - 2)}{2}=\frac{-2}{2}=-1$.

Answer:

$(1,-1)$