Respuesta :

Answer:

The answer is

[tex]( - 5 \: , \: - 7)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a given 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

(-9, -5) and (-1, -9)

The midpoint M is

[tex]M = ( \frac{ - 9 - 1}{2} , \: \frac{ - 5 - 9}{2} ) \\ = ( - \frac{10}{2} , \: - \frac{14}{2} )[/tex]

We have the final answer as

[tex]( - 5 \: , \: - 7)[/tex]

Hope this helps you

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