What is the midpoint of the segment shown below?

Answer:
option A
[tex](2,-\frac{3}{2})[/tex]
Step-by-step explanation:
we know that
The formula to calculate the midpoint M between two points is equal to
[tex]M (\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
In this problem we have
[tex](x1,y1)=(2,-7)[/tex]
[tex](x2,y2)=(2,4)[/tex]
substitute the values
[tex]M (\frac{2+2}{2},\frac{-7+4}{2})[/tex]
[tex]M (\frac{4}{2},\frac{-3}{2})[/tex]
[tex]M (2,-\frac{3}{2})[/tex]