Answer:
The answer is
![(4, - ( 5)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/jmfjc5kg0t4g45hebq9trhtn59hkul3byw.png)
Explanation:
The midpoint M of two given points is given by
![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
(10,5) and (-2, -10)
The midpoint of points is
![M = ((10 - 2)/(2) , (5 - 10)/(2) ) \\ = ( (8)/(2) , - (5)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/j17ju0lg9hgk45662p2fsgd9f8gk8i9zfx.png)
We have the final answer as
![M = (4, - ( 5)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/bg2zga5ktvaszbmouuuunpodmfnot1t0y9.png)
Hope this helps you