Question

Find the coordinates of B if the coordinates of A are (5,-4) and the midpoint of AB are (3,-2)

Answer 1

B(1, 0)

Explanation:

A(5, -4) ⇒
`x_A=5,\quad y_A = -4`

M(3,-2) ⇒
`x_M=3,\quad y_M=-2`

Point M(3, -2) being the midpoint of AB means that
`x_M-x_A=x_B-x_M`

`3-5=x_B-3\\\\-2=x_B-3\\\\x_B=1`

and
`y_M-y_A=y_B-y_M`

`-2-(-4)=y_B-(-2)\\\\-2+4=y_B+2\\\\y_B=0`