A line segment is bisected by a line with the equation # 2 y - 5 x = 2 #. If one end of the line segment is at #( 4 , 8 )#, where is the other end?
Let AB be the line which is a perpendicular of segment CD.
Equation of line AB
Slope of segment CD
Equation of line segment CD " (y - 8) = -(2/5) (x - 4)#
Solving Eqns (1), (2), we get the intersection point E as
Let #x_d, y_d " be the coordinates of point D. Then,