Question

The midpoint AB is M (-1,1). If the coordinates of A are (-6,-3), what are the coordinates of B

Answer 1

coordinates of B is ( 4,5)

Explanation:

If there two points (x1,y1) and (x2,y2) on a plane then coordinates of mid point is given by

m = (x1+x2)/2 , (y1+y2)/2

Given

m = (-1,1)

A= (-6, -3)

we have to point b

let point b be (x,y)

Then m (-1,1) is given by (-6+x)/2 , (-3+y)/2

(-6+x)/2 = -1

-6 + x = 2*-1 = -2

x = -2+6 = 4

also

(-3+y)/2 = 1

=> -3 + y = 2

=> y = 2 + 3 = 5

Thus , coordinates of B is ( 4,5) answer