Points A and B on a line at fixed distance from another line

[thereddevils]

Homework Statement

The points A and B are located on the line 5x-12y=6.The perpendicular distances of A and B respectively from the line 3x-4y=-2 are both 4 units. A lies on the same side of 3x-4y=-2 as the origin ,and B lies on the other side. Find the coordinates of A and B.

Homework Equations

The Attempt at a Solution

I do not understand what it means by the line in red. It has been previously stated both A and B lies on the same line so now how can they be on different sides relative to the origin?

 

[Filip Larsen]

A and B lie on the first line, but on each side of the second line.