A line segment is bisected by line with the equation # 6 y - 2 x = 1 #. If one end of the line segment is at #(4 ,1 )#, where is the other end?
Coordinates of other endpoint (-107/10, -29/10)
Assumption : Its a perpendicular bisector.
Slope of line =
Slope of line segment (perpendicular)
Equation of line segment is
Solving Eqns (1) & (2),
Other end point coordinates