Answer:
The numerical value of the slope is 15, and it is by how much his balance decreases each week.
Step-by-step explanation:
Bryan's balance y after x weeks is given by a first degree function in the following format:

In which a is his initial balance and b is how much he spends a week. The slope is b., that is, how much is deducted from his balance each week.
In this problem, we have that:
Bryan has a balance of $320 in his checking account. This means that
.
He spends $15 each week for next eight weeks. This means that 
So the equation for Bryan's balance is

The numerical value of the slope is 15, and it is by how much his balance decreases each week.