The midpoint of a line segment whose endpoints are (x1, y1) and (x2, y2) is
[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]Since S = (2, 9) and T = (10, 3), then
x1 = 2 and x2 = 10
y1 = 9 and y2 = 3
Substitute them in the rule above
[tex]\begin{gathered} M=(\frac{2+10}{2},\frac{9+3}{2}) \\ M=(\frac{12}{2},\frac{12}{2}) \\ M=(6,6) \end{gathered}[/tex]The midpoint of ST is
M = (6, 6)