Lol! The North American tectonic plate is basically moving towards the south and west. Therefore the "hot spot", currently at Yellowstone, is moving towards the north and east, in the opposite direction.
Hotspots, such as in Yellowstone and the Hawaiian islands, are more or less stationary objects, with a tectonic plate passing over them. The difference between YS and the HIs, in terms of their potential explosiveness, is in the type of magma present. With the HIs the magma is fluid and flows smoothly. With YS, however, the magma, being mixed with melted continental rock, is much thicker and so more readily traps gases which can build up to extremely dangerous levels. If you look at a topographic map of Idaho, note the Snake River Plain. It is the result of a serious of prior eruptions dating back millions of years. The prior eruptions were so violent that they blew apart mountains that had formerly stood there forming a linear valley.