Question

The endpoints of line segment. CD are C(-4,7) and D(0,-3). Find the midpoint of

line segment CD.

Answer 1

Given:

The endpoints of line segment CD are C(-4,7) and D(0,-3).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

`Midpoint=\left((x_1+x_2)/(2),(y_1+y_2)/(2)\right)`

Using the midpoint formula, the midpoint of CD is

`Midpoint=\left((-4+0)/(2),(7-3)/(2)\right)`

`Midpoint=\left((-4)/(2),(4)/(2)\right)`

`Midpoint=\left(-2,2\right)`

Therefore, the midpoint of the line segment CD is (-2,2).