does the display work correctly before the blue line kicks in?, if so then I would guess the display itself is OK, sounds like either the display driver or a clock associated with it is faulty, if it is either of these you are not going to be able to fix it, the only other possibility I can think of is power supply, you could see if you get the same blue line when you power the Etrex from a USB cable, also your Etrex will have an internal backup battery that retains data when the main batteries are flat, a faulty backup battery can cause problems even when there is power from main batteries / USB cable and replacing it sometimes fixes power problems