Respuesta :

Given:

The two points are C(3,-5) and D(7,9).

To find:

The midpoint M of the given points.

Solution:

We know that,

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of C(3,-5) and D(7,9) is

[tex]M=\left(\dfrac{3+7}{2},\dfrac{-5+9}{2}\right)[/tex]

[tex]M=\left(\dfrac{10}{2},\dfrac{4}{2}\right)[/tex]

[tex]M=\left(5,2\right)[/tex]

Therefore, the midpoint M of two points C(3,-5) and D(7,9) is (5,2).