Question

Point M is the midpoint of AB. The coordinates of point A are (-6, 2) and the coordinates of M are (-4,1). What are the coordinates of point B?

Answer 1

$\begin{gathered} \text{mid point = (}\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\text{)} \\ (-4,1)=(\frac{-6+x_2}{2},\frac{2+y_2}{2}) \\ -4=\frac{-6+x_2}{2} \\ -8=-6+x_2 \\ x_2=-8+6 \\ x_2=-2_{} \\ \\ 1=\frac{2+y_2}{2} \\ 2=2+y_2 \\ y_2=0 \end{gathered}$

Cordinates of B are (-2, 0)