# 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?

##### 1 Answer

The other end point is

#### Explanation:

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.