Question

Find the other endpoint of the line segment with the given endpoint and
midpoint.
Endpoint 1: (0, 2)
Midpoint: (8,-9)
Endpoint 2= (
Endpoint
Check

1. thuhuong
The required other endpoint coordinates of line segment with one endpoint as (0,2) and a midpoint as (8,-9) is (16,-20).
Let there be line segment AB with mid- point M . We have been given the coordinates of one endpoint and midpoint which are,
A(0,2)    and  M(8,-9)
We have to find the coordinates of B of the line segment.
We know the formula of midpoint which is given as ,
(xm , ym) = [(x1 + x2)/2  , (y1 + y2)/2]       (1)
Where  (xm , ym) are the coordinates of the mid point which are (8,-9) and
(x1 , y1) = (0,2) are the coordinates of endpoint 1.
Thus we have to find (x2 , y2) coordinates. Putting the required value in equation (1) we get
(8 , -9) = [(0 + x2)/2  , (2 + y2)/2]
Therefore,    8 = x2/2                        -9 = (2+y2)/2
x2 = 16                           y2 = -20
Hence the required coordinates of the other endpoint is B(16,-20)