Question

Given line segment AB, the coordinates of A are (3,-5) and the coordinates midpoint are (5,-1), what are the coordinates for B?

PLEASE HELP

Answer 1

B(7, 3)

Explanation:

Point P(5, -1) being the midpoint of AB means that
`x_P-x_A=x_B-x_P`

`5-3=x_B-5\\\\2+5=x_B\\\\x_B=7`

and
`y_P-y_A=y_B-y_P`

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