Question

If M (6,8) is the midpoint of line segment AB, and if A has coordinates (2,3) , find the coordinates of B.

Answer 1

If Coordinates of B are (x,y), you know the mid point is calculated as:

(2+x)/2=6 and (3+y)/2=8

Answer 2

@nfarrar1313 can you find x and y with these equations?

Answer 3

ok this one is easy.. just use midpoint theorem

let A=(2,3)=(x,y)
B=(c,d)
let co-ordinates of midpoint be (e,f)
by midpoint theorem you have
e=(x+c)/2
so 6=(2+c)/2
hence c=10
similarly
f=(y+d)/2
so 8=(3+d)/2
hence d=13 so here is your answer (10,13)