The answer is ( - 2 , 3)
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
![M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\](/tpl/images/0803/8903/ab4dd.png)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
S(-8,-6) and T(4, 12)
We have
![M = ( \frac{ - 8 + 4}{2} \: , \: \frac{ - 6 + 12}{2} ) \\ = ( - \frac{4}{2} \: , \: \frac{6}{2} )](/tpl/images/0803/8903/54a3d.png)
We have the final answer as
( - 2 , 3)
Hope this helps you