A:AnswerAbsolutely! If you have an HDMI port on your computer, you should be good to go! If your computer happens to have a VGA port instead of an HDMI (extremely unlikely on newer computers), you can find a VGA to HDMI adapter pretty easily.
A:AnswerNot sure why the game is slowing down. You did not say how old the computer is. This is a high tech. monitor it may be that you need a newer/larger computer or a newer video card to run the gaming on this monitor. Either way I would not hesitate to ask the geek squad at Best Buy for their answer. They have been great to me.