On a snowboard there is no such thing as the "Pizza" formation you saw beginner skiers use. On a snowboard you stop by using your edges to turn the board against the slope. By turning the board against the slope, the board is no longer aimed downhill and gradually loses speed. By making turns on a snowboard, you are constantly checking your speed each time the board veers away from the downhill line.
So yes, "zig-zagging" or linking turns are what slows you down. One thing that's for sure with a snowboard, is that if you point the thing downhill and don't turn, it's going to keep going until you hit something.
Ok - I've only snowboarded once in Snowmass, CO. When I pointed my snowboard sideways against the hill the only effect was that I kept sliding down the hill but my board was sideways and balance was a lot trickier.
I guess the trick is that I need to actually get the board to be able to navigate down the hill in a zig-zag instead of what seems to be the natural tendency of the snowboard to slide straight ahead.
I guess I need to do some research on how to "link turns". Will you please give your best peice of advice for linking turns to a newbie?