A line segment is bisected by a line with the equation # -7 y + 3 x = 2 #. If one end of the line segment is at #( 2 , 1 )#, where is the other end?
Coordinates of other end = (67/29, 8/29) or (2.3103, 0.2759)
Assumption : Given line equation is a perpendicular bisector to the line segment
Slope of line m1 = 3/7.
Slope of perpendicular line segment
#7x + 3y = 17 color(white)(aaa) Eqn (2)
Solving Eqns (1) & (2),