# A line segment is bisected by a line with the equation # - 3 y + 4 x = 6 #. If one end of the line segment is at #( 3 , 1 )#, where is the other end?

##### 1 Answer

Jun 21, 2017

The other end is

#### Explanation:

Let the other end be

Then the mid-point of the line is

The slope of the line

is

The slope of the line perpendicular is

The equation of the line is

Solving for

The mid-point is

So,

The other end is