Answer :
the formula of the midpoint is
[tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]A are (-3,4) --> (x1,y1)
B are (x2,y2)
we can repalce A and the midpoint and the formula
[tex](\frac{-3+x2}{2},\frac{4+y2}{2})=(-5,2)[/tex]and we can equal each coordinate to find x2 and y2
first x2
[tex]\begin{gathered} \frac{-3+x2}{2}=-5 \\ \\ -3+x2=-5\times2 \\ x2=-10+3 \\ x2=13 \end{gathered}[/tex]now y2
[tex]\begin{gathered} \frac{4+y2}{2}=2 \\ \\ 4+y2=2\times2 \\ y2=4-4 \\ y2=0 \end{gathered}[/tex]so B is
[tex](13,0)[/tex]