Answer :
Given:
The endpoints of line segment CD are C(-4,7) and D(0,-3).
To find:
The midpoint of CD.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the midpoint formula, the midpoint of CD is
[tex]Midpoint=\left(\dfrac{-4+0}{2},\dfrac{7-3}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{4}{2}\right)[/tex]
[tex]Midpoint=\left(-2,2\right)[/tex]
Therefore, the midpoint of the line segment CD is (-2,2).