Question

If (-2, -6) is the end point of the line segment and (3,0) is its midpoint , Find the other endpoint ?

Answer 1

(8, 6).

Explanation:

Let the end-point be (x , y)

Then the midpoint ( using the endpoint ( -2, -6) )

= (x - 2)/2 , (y - 6)/2

But we are given that the midpoint is (3, 0), so:

(x - 2)/2 = 3

x - 2 = 6

x = 8 and

(y - 6) = 0

y = 6