Answer:

The midpoint of line segment is (5,9).

Step-by-step explanation:

Given : Line segment whose endpoints are (3, 10) and (7, 8).

To find : Find the midpoint of the line segment .

Solution : We have given that endpoints  (3, 10) and (7, 8).

By the midpoint segment formula :

     Midpoint :

(frac{x_{1}+x_{2}}{2} , frac{y_{1}+y_{2}}{2}).

Here, the coordinate of x_{1} = 3 ,   x_{2} = 7 ,

                                      y_{1} = 10 ,      y_{2} = 8 ,

Plugging values in formula ,

Midpoint =(frac{3+7}{2} , frac{10+8}{2}).

Midpoint =(frac{10}{2} , frac{18}{2}).

Midpoint = (5 , 9).

Therefore, the midpoint of line segment is (5,9).