In a distributed computer system, a method for lossless compression of a graphical line within an application server allows the compressed line data to be transmitted over a low bandwidth transport mechanism to a graphical user interface for display on a workstation. The application server determines, from graphical line data representative of the graphical line, coordinate locations for the endpoints of each sub-path of the graphical line and attributes of each sub-path. The application server generates a compressed line data packet of variable length which includes the coordinate location data and attribute data for each sub-path of the graphical line.