Question

find the coordinates of the midpoint of a segment with the endpoints (9, -3) and (5, 1).

Explanation:

Step1: Find the x - coordinate of the midpoint

Use the midpoint formula for the x - coordinate: $\frac{x_1 + x_2}{2}$. Here $x_1=9$ and $x_2 = 5$.
$\frac{9 + 5}{2}=\frac{14}{2}=7$

Step2: Find the y - coordinate of the midpoint

Use the midpoint formula for the y - coordinate: $\frac{y_1 + y_2}{2}$. Here $y_1=-3$ and $y_2 = 1$.
$\frac{-3+1}{2}=\frac{-2}{2}=-1$

Answer:

$(7,-1)$