# 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?

##### 1 Answer

Oct 25, 2017

Coordinates of other endpoint **(-13/5, -61/5)**

#### Explanation:

Assumption : Its a perpendicular bisector.

Slope of line =

Slope of line segment (perpendicular)

Equation of line segment is

Solving Eqns (1) & (2),

Midpoint coordinates

Other end point coordinates

#x_1 = -(8/5)