Steve Marsden’s

The basic relationship looks like this:

where ln k is the natural log of the rate constant at temperature T (in Kelvin) and Ea is the activation energy in Joules. R is the gas constant, in this case,
8.31 J/mol·K. This equation is written in the slope-intercept form for a straight line and is essentially a description of how the rate constant is related to both the activation energy and the temperature (in Kelvin). The constant (or y-intercept) is a number related to the frequency of collisions. We don't need to be concerned with it.

A relationship like this also enables us to determine the activation energy for a reaction by measuring its rate at various temperatures.