How can one determine the inhibition constant (Ki) using the Michaelis-Menten constant (Km) and the maximum reaction rate (Vmax)?

To determine the inhibition constant (Ki) using the Michaelis-Menten constant (Km) and the maximum reaction rate (Vmax), one can perform experiments with varying concentrations of the inhibitor and substrate. By plotting the data and analyzing the changes in the reaction rate, the Ki value can be calculated using mathematical equations derived from the Michaelis-Menten kinetics.