Question

the endpoints of $overline{cd}$ are $c(-7, - 3)$ and $d(2,1)$. the coordinates of the mid - point $m$ on $overline{cd}$ 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, $x_1=-7,y_1 = - 3,x_2=2,y_2 = 1$.

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

$x=\frac{-7 + 2}{2}=\frac{-5}{2}=-2.5$.

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

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

Answer:

$(-2.5,-1)$