The general format of a rate law is as follows:
Rate = k[A]^x ^y...
So the rate law is affected by a change in a reactant concentration or by anything that affects the rate constant, k.
The rate constant in turn is affected by either a change in temperature or a change in the activation energy (via a catalyst) as shown by the Arrhenious eqn:
k = A e^-Ea/RT where Ea = activation energy
Increase temp, increase k
Decrease Ea, increase k
Don't confuse the rate constant, k, with the equilibrium constant, capital Keq, which is only affected by a change in temperature.
Hope this helps.