Respuesta :

Answer:

The answer is

[tex] (4, - \frac{ 5}{2} )[/tex]

Step-by-step explanation:

The midpoint M of two given points is given by

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(10,5) and (-2, -10)

The midpoint of points is

[tex]M = (\frac{10 - 2}{2} , \frac{5 - 10}{2} ) \\ = ( \frac{8}{2} , - \frac{5}{2} )[/tex]

We have the final answer as

[tex]M = (4, - \frac{ 5}{2} )[/tex]

Hope this helps you