A line segment is bisected by a line with the equation # - 6 y + x = 3 #. If one end of the line segment is at #( 4 , 5 )#, where is the other end?
Other end point
Assumption : line segment is bisected by the line with equation
Slope of perpendicular line is
Equation of line segment is
Solving Eqns (1) & (2) we get the midpoint.
Let the other end point be