So you'll have lim t---> infinite , the function in the denominator will grow faster, so as t grows, P'(x) approaches zero. I believe another way to see this is to note that for t---> inf, P(x)---> 24, therefore reaching a constant value, with zero rate of change. My rate would be zero, right?
sorry for the late follow-up, I checked my work again, and my slope is 2. My b value, upon calculation, is ##-3\pi ##. Would my final equation be ##y=2x-3\pi##?