Answer:
The answer is
[tex]( - 3 \: , \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
(-2, - 1) and ( - 4,10)
So we have
[tex]M = ( \frac{ - 2 - 4}{2} \: , \: \frac{ - 1 + 10}{2} ) \\ = ( - \frac{ 6}{2} \: , \: \frac{9}{2} )[/tex]
We have the final answer as
[tex]( - 3 \: , \frac{9}{2} )[/tex]
Hope this helps you
