Answer:
The answer is
![( (11)/(2) \: , \: 7)](https://img.qammunity.org/2021/formulas/mathematics/college/j5m4qtbnrop2tg1wiwbv1w9jas0zlxklf6.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
(10,9) and (1,5)
The midpoint M is
![M = ( (10 + 1)/(2) , \: (9 + 5)/(2) ) \\ = ( (11)/(2) , \: (14)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/college/pw7p5m83sh06pa8xowvpx5b1xlarg9ey2n.png)
We have the final answer as
![( (11)/(2) \: , \: 7)](https://img.qammunity.org/2021/formulas/mathematics/college/j5m4qtbnrop2tg1wiwbv1w9jas0zlxklf6.png)
Hope this helps you