Given:
The endpoints of line segment CD are C(-2,0) and D(4,9).
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{-2+4}{2},\dfrac{0+9}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{2}{2},\dfrac{9}{2}\right)[/tex]
[tex]Midpoint=\left(1,4.5\right)[/tex]
Therefore, the midpoint of the line segment CD is (1,4.5).