If m = 2 and b =-6, what is the correct slope intercept equation?

The most intuitive way to imagine this is: For the first of the six states, you have 11 choices to get from. For the second, there are 10 left. For the third, 9 leftand so on until you have 6 choices for the sixth and final state.
So this is just 11*10*9*8*7*6 = 332,640 ways

The formal way to write this would be in terms of permutations (where order matters): 11P6 = 11!/(11-6)! = 11!/5! = 332,640.