Respuesta :

Answer:

The answer is

[tex](3 \: , \: \frac{3}{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

S(-1,5) and T(7, -2)

The midpoint is

[tex]M = ( \frac{ - 1 + 7}{2} \: , \: \frac{ - 2 + 5}{2} ) \\ = ( \frac{6}{2} \: , \: \frac{3}{2} )[/tex]

We have the final answer as

[tex](3 \: , \: \frac{3}{2} ) \\ [/tex]

Hope this helps you