Answer
The midpoint of the line segment $~\overline{P_1P_2}~$ is: $(\frac{1}{2}, \frac{5}{2}, \frac{11}{2})$
Work Step by Step
$P_1 = (1,0,2)$
$P_2 = (0,5,9)$
We can find the midpoint between these two points:
$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ,\frac{z_1+z_2}{2})$
$= (\frac{1+0}{2},\frac{0+5}{2} ,\frac{2+9}{2})$
$ = (\frac{1}{2}, \frac{5}{2}, \frac{11}{2})$
The midpoint of the line segment $~\overline{P_1P_2}~$ is: $(\frac{1}{2}, \frac{5}{2}, \frac{11}{2})$