How and why does an increase in temperature effect the rate of an enzyme substrate reaction?

As temperature increases up to the optimal temperature for the enzyme, the rate of reaction will increase at a steady rate because the kinetic energy of the enzyme and substrate molecules increases, so therefore the moleculess move faster and are more likely to colide, meaning that enzyme subtrate complexes are more likely to form. At temperatures above the optimal temperature for the enzyme, reaction rate drops rapidly. This is because the enzyme molecules will start to denature above optimal temperatures, meaning that the active site changes shape and is no longer complementary to the shape of the substrate, so enzyme substrate complexes cannot form and the reaction cannot procede.

(n.b. this would best answered with the addition of a sketch graph showing temperature vs rate of reaction)