A line segment is bisected by a line with the equation # - y + 3 x = 1 #. If one end of the line segment is at #(6 ,3 )#, where is the other end?
We know that the line
This has a gradient of 3. The line containing
Finding the equation of this line using point slope method:
Coordinates of the midpoint are found using:
Let the unknown endpoint be
Coordinates of the other endpoint are: