Question

the endpoints of $overline{cd}$ are $c(-4,7)$ and $d(0, - 3)$. the coordinates of the mid - point $m$ of $overline{cd}$ are ($square$, $square$).

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, $x_1=-4,y_1 = 7,x_2 = 0,y_2=-3$.

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

$x=\frac{-4 + 0}{2}=\frac{-4}{2}=-2$.

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

$y=\frac{7+( - 3)}{2}=\frac{7 - 3}{2}=\frac{4}{2}=2$.

Answer:

$(-2,2)$