Question

The midpoint of AB is M(-6, -1). If the coordinates of A are (-5,3), what

the coordinates of B?
are

Answer 1

B(-7, -5)

Explanation:

M(-6, -1) being the midpoint of AB means that
`x_M-x_A=x_B-x_M`

`-6-(-5)=x_B-(-6)\\\\-6+5-6=x_B\\\\x_B=-7`

and
`y_M-y_A=y_B-y_M`

`-1-3=y_B-(-1)\\\\-4=y_B+1\\\\y_B=-5`