Respuesta :

Midpoint formula:

[tex](x_M,y_M)=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex]

xM = 1

yM = -4

xA = -3

yA = -6

Then:

[tex]\begin{gathered} 1=\frac{-3+x_B}{2} \\ 1\cdot2=-3+x_B \\ 2+3=x_B \\ 5=x_B \end{gathered}[/tex][tex]\begin{gathered} -4=\frac{-6+y_B}{2} \\ (-4)\cdot2=-6+y_B \\ -8\text{ + 6 = }y_B \\ -2=y_B \end{gathered}[/tex]

The coordinates of B are (5, -2)