Respuesta :

Answer:

The answer is

[tex]( \frac{7}{2} \: , \: \frac{9}{2} )[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[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

(-3,13) and (10,-4)

The midpoint M is

[tex]M = ( \frac{ - 3 + 10}{2} , \: \frac{13 - 4}{2} ) \\ [/tex]

We have the final answer as

[tex]( \frac{7}{2} \: , \: \frac{9}{2} )[/tex]

Hope this helps you