We are given the points:
(-2, 9) and (7, 3)
The midpoint of the two points can be calculated using the formula:
[tex]\begin{gathered} (x_m,y_m)\text{ = (}\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}) \\ \text{where (x}_m,y_m)\text{ are the coordinates of the mid-point} \end{gathered}[/tex]When we substitute the given points and simplify, we have:
[tex]\begin{gathered} (x_m,y_m)\text{ =( }\frac{7+(-2)}{2},\frac{3+9}{2}) \\ =\text{ (}\frac{5}{2},\text{ }\frac{12}{2}) \\ =\text{ (}\frac{5}{2},\text{ 6)} \end{gathered}[/tex]Hence, the mid-point of the given points is (5/2, 6)
