BumBumBum.... The line strikes again. If it is a line you are describing, then that program probably wont do anything. A stuck pixel is different from a line. A line cant be fixed as easily (if at all) and is much more annoying. I would do these:
1) Change the resolution of your desktop to make sure its not a problem with your video card.
2) If you have a spare, try changing the video card out and seeing if that makes a difference (or try a different screen on that same video card, and if the problem recurrs, then its the video card's fault, excluding the 1-in-a-trillion chance that both monitors happened to have the exact same problem in the exact same spot)
3) Ask someone else, because im just some guy on the internet.
4) RMA the monitor.
Thats all ive got. Good luck.