alas for the rate equation can not be determined from the overal reaction equation alone.
you need to do a series of experiments.
in each experiment change the concentration of one reactant only.
example A + B ---> C
start with 1M A and 1M B.
next experiment 2M A and 1M B
then at a certain point in the reaction you need to quench it and find out how much C you got.
you can then make comparisons and see how changing the concentration effects the rate.
you can then see the order of reaction with respect to the reactants.
so if doubling concentration of A doubles rate then reaction is first order with respect to A
you end up with an equation that is along the lines of
rate = k[A]^n.^m
k is the rate constant
m and n are the orders of reaction