Answer
$(4,16)$
Work Step by Step
Let $P=(x_{1},y_{1})=(-3,8)$ and $Q=(x_{2},y_{2})=(11,24)$
The midpoint formula is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$.
Substituting the values:
Midpoint=$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$
Midpoint=$(\frac{-3+11}{2},\frac{8+24}{2})$
Midpoint=$(\frac{8}{2},\frac{32}{2})$
Midpoint=$(4,16)$
Therefore, the coordinates of the midpoint are:$(4,16)$.
