Question

Point a is at (-1,-9) and point m is at (0.5,-2.5) point m is the midpoint of a and point b what coordinates of point b

Answer 1

B (2, 4)

Explanation:

A (-1,-9); M (0.5, -2.5); B (xB, yB)

M is the midpoint of AB, therefore we have these 2 equations:

(*) xA + xB = 2. xM

(**) yA + yB = 2. yM

(*) <=> xB = 2. xM - xA = 2x0.5 - (-1) = 1 + 1 = 2

(**) <=> yB = 2. yM - yA = 2x(-2.5) - (-9) = -5 + 9 = 4

So, B (2, 4)