Whisk the eggs together with some salt and pepper using a fork.
Melt the butter in a non stick skillet over medium heat, be sure that the butter does not turn brown.
Pour the eggs into the skillet and stir for 1-2 minutes, until they are creamy and cooked just shy of how you like them (remember that the eggs will still be cooking even after you've put them on your plate).
Sprinkle the cheese on top and the green onions if using.