Question

Point M is the midpoint of AB. The coordinates of point A are (-6, 1) and the coordinates of M are (-3,2).

What are the coordinates of point B?
The coordinates of point B are

Answer 1

Let B(a,b) be x1, y1

A(-6,1) be x2,y2

midpoint M(-3,2) be (x,y)

using midpoint formula

(x,y)= [(x1+x2)/2, (y1+y2)/2)

(-3,2) = [(a-6)/2, (b+1)/2}

comparing corresponding value

-3 = (a-6)/2 (b+1)/2 = 2

-6= a-6 b+1=4

a=0 b=3

coordinates of B = (0,3)