Question

Segment AB has a endpoint at (-2,3) and a midpoint M at (4,6). find the coordinates (x,y) of point B

Answer 1

(x, y) = (10, 9)

Explanation:

midpoint formula = { x1 + x2/2 ; y1 + y2/2}

co ordinate of point A = -2, 3

co ordinate of point B = x,y

mid point = 4,6

4 = x1 + x2/2 ; 6 = y1 + y2/2

4 = -2 + x/2 ; 6 = 3 + y/2

4 × 2 = -2 + x ; 6 × 2 = 3 + y

8 = -2 + x ; 12 = 3 + y

10 = x ; 9 = y

co ordinate of Point B = (10, 9)