A line segment is bisected by a line with the equation # -6 y - x = 3 #. If one end of the line segment is at #( 8 , 3 )#, where is the other end?
The other end point is
It is assumed that the line bisecting the line segment is assumed to be a perpendicular bisector.
Slope of the equation
Slope the line segment
Equation of the line segment is
Solving equations (1) & (2), we get the midpoint which is also the midpoint of the line segment.
Substituting value of x in Eqn (1),
Coordinate of midpoint
Let (x2,y2) be the other end point coordinates of the line segment.