# A line segment is bisected by a line with the equation # 3 y - 7 x = 2 #. If one end of the line segment is at #( 8 , 1 )#, where is the other end?

##### 1 Answer

Oct 14, 2017

Coordinates of other end points **(-6.6,3.6)**

#### Explanation:

**Assumption : Bisecting line is a perpendicular bisector**

Standard form of equation

Slope of perpendicular bisector **m** is given by

Slope of line segment is

Solving Eqns (1) & (2),

Subtracting and eliminating y term,

Substituting value of x in Eqn (1),

Mid point #(7/10,23/10)

Let (x1,y1) the other end point.

Coordinates of other endpoint