Green pixels on screen

This is something that's been going on a while at start up,on the home screen there are groups of green pixels popping up here and there on the screen it almost looks like some kind of electrical noise, but if I unplug and go off battery it's still there. Also when scrolling down a web page the sentences run together. Would I be right in saying this is some kind of hardware problem and what could it be?

Is this a laptop? Could be a loose or damaged video cable. If you can, hook up and external monitor and see if the pixels return to normal