Answer:
[tex]m(x, y)=(\frac{7}{2} , -\frac{5}{2} )[/tex]
Step-by-step explanation:
Midpoint of line segment is calculated as
[tex]m(x, y)=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex] -----------(1)
Here
[tex](x_1, y_1) = (12,2) \ \ and \ \ (x_2, y_2) = (-5, -7)[/tex]
Substituting values in equation (1)
[tex]m(x, y)=(\frac{12-5}{2} , \frac{2-7}{2} )[/tex]
[tex]m(x, y)=(\frac{7}{2} , -\frac{5}{2} )[/tex]