A line segment is bisected by a line with the equation # - 3 y + 5 x = 8 #. If one end of the line segment is at #( 7 , 9 )#, where is the other end?
Coordinates of the other end point
Assumption : Bisecting line is a perpendicular bisector
Standard form of equation
Slope of perpendicular bisector m is given by
Slope of line segment is
Solving Eqns (1) & (2),
Let (x1,y1) the other end point.
Coordinates of other end point