Sounds like its either your LCD or Video card. If you still have warranty send it back immediatly for a fix or a complete exchange, if not, then try to diagnose if its actually the LCD or video card, and purchase replacement part.
Just so you know, the more you try to restart your computer, the more lines will increase (not necessarily red). But to answer your question, there are many different ways to get rid of the line. A...
Either the monitor is going bad or the video card is going bad. If you can get your hands on a spare monitor, try swapping it out and see if the lines are still there. If they are, then the problem...