Imac stuck pixel line

Hey I've had this problem with my 21.5 inch 2010 imac, since we have owned it we have had one stuck pixel, this was fine, we called apple and they said they would have to replace the whole thing, so we just decided to keep it and try and ignore the stuck pixel but one day the stuck pixel made a whole vertical line of stuck pixels, but now it is not possible to replace it without paying for it. This is a very annoying line of stuck pixels as it is in the very middle of the screen. Any help would be appreciated.