Question

find the midpoint of the line segment whose endpoints are given. (-2,1), (-10,-7)
the midpoint is (simplify your answer.)

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 $x_1=-2,y_1 = 1,x_2=-10,y_2=-7$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-2+( - 10)}{2}=\frac{-2 - 10}{2}=\frac{-12}{2}=-6$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{1+( - 7)}{2}=\frac{1 - 7}{2}=\frac{-6}{2}=-3$.

Answer:

$(-6,-3)$