Question

find the midpoint of the segment with the following endpoints. (2, 7) and (-6, -1)

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 $x_1=2,y_1 = 7,x_2=-6,y_2=-1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{2+( - 6)}{2}=\frac{2 - 6}{2}=\frac{-4}{2}=-2$.

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(-2,3)$