Answer:
(-1, 8)
Explanation:
Given two points:
[tex]\begin{gathered} (x_1,y_1)=C\mleft(-3,6\mright) \\ \mleft(x_2,y_2\mright)=D\mleft(1,10\mright) \end{gathered}[/tex]The midpoint of the line segment is obtained by finding the average of the respective x and y coordinates. This is the midpoint formula given below:
[tex]M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]Substitute the points:
[tex]M(x,y)=(\dfrac{-3+1}{2},\dfrac{6+10}{2})=(\dfrac{-2}{2},\dfrac{16}{2})=(-1,8)[/tex]The midpoint of CD is (-1,8).
