Question

the endpoints of $overline{gh}$ are $g(-6,2)$ and $h(4,8)$. find the coordinates of the midpoint $m$. the coordinates of $m$ are ( , ).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-6,y_1 = 2,x_2 = 4,y_2=8$.

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

$x=\frac{-6 + 4}{2}=\frac{-2}{2}=-1$.

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

$y=\frac{2 + 8}{2}=\frac{10}{2}=5$.

Answer:

$(-1,5)$