Answer:
The answer is
![( (7)/(2) \: , \: (9)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/j0vv3yqumg6pibw4ds5g5awi9xnjz98xx9.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
(-3,13) and (10,-4)
The midpoint M is
![M = ( ( - 3 + 10)/(2) , \: (13 - 4)/(2) ) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/hh0h3eeu7k9u10uifbneqwo17m6j58ohqk.png)
We have the final answer as
![( (7)/(2) \: , \: (9)/(2) )](https://img.qammunity.org/2021/formulas/mathematics/high-school/j0vv3yqumg6pibw4ds5g5awi9xnjz98xx9.png)
Hope this helps you