Answer
The midpoint of the line segment $~\overline{P_1P_2}~$ is: $(\frac{7}{2}, 3, -3)$
Work Step by Step
$P_1 = (2,-1,1)$
$P_2 = (5,7,-7)$
We can find the midpoint between these two points:
$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ,\frac{z_1+z_2}{2})$
$= (\frac{2+5}{2},\frac{-1+7}{2} ,\frac{1+(-7)}{2})$
$ = (\frac{7}{2}, 3, -3)$
The midpoint of the line segment $~\overline{P_1P_2}~$ is: $(\frac{7}{2}, 3, -3)$