find the coordinates of the midpoint of a segment with the endpoints (7, -5) and (3, 3).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\left(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2}\right)$. Here $x_1=7,y_1 = - 5,x_2=3,y_2 = 3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{7 + 3}{2}=\frac{10}{2}=5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-5 + 3}{2}=\frac{-2}{2}=-1$.

Answer:

$(5,-1)$