Another way to solve this is to use the Midpoint Formula. The midpoint of a segment joining points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is
[tex]\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} \right)[/tex]
So the midpoint of your segment is
[tex]\left(\frac{5+(-2)}{2},\frac{-9+(-2)}{2}\right) = \left(\frac{3}{2},-\frac{11}{2} \right)[/tex]
Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points. Ditto for the y-coordinate of the midpoint; just average the y's.
