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 = (}(x_1+x_2)/(2),(y_1+y_2)/(2)\text{)} \\ (-4,1)=((-6+x_2)/(2),(2+y_2)/(2)) \\ -4=(-6+x_2)/(2) \\ -8=-6+x_2 \\ x_2=-8+6 \\ x_2=-2_{} \\ \\ 1=(2+y_2)/(2) \\ 2=2+y_2 \\ y_2=0 \end{gathered}`

Cordinates of B are (-2, 0)