Answer:
The answer is
![( - (13)/(2) , \: - 3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/m9dr5oe4rughz4kq3guas9agw56oz516q8.png)
Explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
![M = ( (x1 + x2)/(2) , \: (y1 + y2)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/x36jynvn72lt9s56attye691z68vqunwvx.png)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-15,4) (2,-10)
The midpoint is
![M = ( ( - 15 + 2)/(2) , \: (4 - 10)/(2) ) \\ = ( - (13)/(2) , \: - (6)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/u2v60xrbcp3gxmigd2sn98lwcj92uh6at7.png)
We have the final answer as
![( - (13)/(2) , \: - 3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/m9dr5oe4rughz4kq3guas9agw56oz516q8.png)
Hope this helps you