my computer suddenly has a pink line through the screen, some other things I'd read elsewhere indicated this may mean that the video card is dieing, is this true? Its a very thin pink line, honestly I can ignore it.
Could be your graphics card or it could be your monitor. If possible, try connecting a different monitor to your system or connecting your monitor to a different computer to see if the pink line is still there.
Your Monitor + Different Computer = Pink Line - It's your monitor
Your Computer + Different Monitor = Pink Line - It's your graphics card.
if it is a vertical pink line i bet it is a monitor problem, if it is soon will start to be displayed more lines, this problem happened on my Sony Bravia television. required a FULL LCD PANEL change for fix.
could be a video card problem also, do as @Wolfshadw said, test in other monitor, or test the monitor in another device. just to verify wich one it really is.