A line segment is bisected by a line with the equation # - 2 y - x = 2 #. If one end of the line segment is at #( 8 , 7 )#, where is the other end?
Coordinates of other endpoint (-13/5, -61/5)
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
#x_1 = -(8/5)