Answer:
[tex]M(5,2)[/tex]
Step-by-step explanation:
The coordinates of M are calculated using the midpoint formula:
[tex]M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
where [tex](x_1,y_1)=C(3,-5)[/tex] and [tex](x_2,y_2)=D(7,9)[/tex]
We substitute into the formula to obtain:
[tex]M(\frac{3+7}{2},\frac{-5+9}{2} )[/tex]
We simplify to get:
[tex]M(\frac{10}{2},\frac{4}{2} )[/tex]
The coordinates of the midpoint of CD are:
[tex]M(5,2)[/tex]
