Respuesta :

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).