So this is our y number, this is our Y intercept, this is our x value and this is our slope. Our slope is negative k. So if we plot this where our Y is the concentration of X and our X is the time or the progress of reaction, we get the following negative slope where this point is the .0
comma concentration of initial because it's time to zero, we plug in t zero and we get simply this guy equals this guy. That's exactly what this guy is. This is our initial concentration of our reactor. Now the slope represents negative k, this is our slope. So to find our slope, we simply find the final concentration, subtract that from initial concentration and divide it by the change in time, or M equals change in Y over change in X and we find our K value.