Midpoint is (1, 8)
Explanation:
First, let's state the points:
[tex]x_1=5,y_1=10,x_2=-3,y_2=\text{ 6}[/tex]Midpoint formula is given as:
[tex]\text{Mid point = (}\frac{x_{1+}x_2}{2},\text{ }\frac{y_{1+}y_2}{2})[/tex][tex]\begin{gathered} \text{Mid point = (}\frac{5\text{ - 3}}{2},\text{ }\frac{10+6}{2}) \\ \text{Mid point = (}\frac{2}{2},\text{ }\frac{16}{2}) \\ Midpoint=\text{ 1, 8} \end{gathered}[/tex]Hence, the midpoint of the line segment with the endpoints (5, 10) and (-3, 6) is (1, 8)
