Question

Points A and B have co-ordinates (3, 5) and (x, y) respectively. The mid-point of AB is (2, 3). Find the values of x and y.

Answer 1

Mid-point of AB = (2, 3)

∴ `((3 + x)/2, (5 + y)/2) = (2, 3)`

`=> (3 + x)/2 = 2` and `(5 + y)/2 = 3`

`=>` 3 + x = 4 and 5 + y = 6

`=>` x = 1 and y = 1