Slope of second order reaction

[Carlos Gonzales 1H]

Why is the slope of a second order reaction positive compared to first and zero order reactions?

[Annalise Eder 2L]

The variable for a second order reaction that create a linear graph are 1/[A] over time while for a first order reaction it is ln[A] over time and for a zero order reaction it is [A] over time. The 1/[A] creates a positive slope because as the concentration of A decreases 1/[A] increases.

[Haocheng Zhang 2A]

For the second order reaction, k is proportional to 1/[A]. As the time of reaction increases, the concentration [A] decreases and 1/[A] increases, so the slope is positive.

[Christy Zhao 1H]

The integrated rate laws of the zero and first-order have a -kt, while the second-order has a +kt. Since the integrated rate laws correspond to y=mx+c (m=k), the slope depends on k.