Like some other units, Slayers have a choice of which weapons to whip out of their belt before a fight.
So, which do you choose ?
Well to cut a long story short:
if you're fighing some rock hard opponent with a high toughness, ie 5 or more then go for 2 weapons (axes no doubt). Slayer skill means you will always wound on a 4. The only time you might want a great weapon against these tough opponents is if they have a very good armour save (say knights).
for all other opponents choose a great weapon.
There are some caveats, like Initiative. But let's face it not many enemies will be slower than a beard laden Dwarf !