Answer:
The answer is
[tex]( \frac{11}{2} \: , \: 7)[/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
(10,9) and (1,5)
The midpoint M is
[tex]M = ( \frac{10 + 1}{2} , \: \frac{9 + 5}{2} ) \\ = ( \frac{11}{2} , \: \frac{14}{2} )[/tex]
We have the final answer as
[tex]( \frac{11}{2} \: , \: 7)[/tex]
Hope this helps you
