What is the linear graphical representation of the Michaelis-Menten equation?

The Michaelis-Menten equation describes the rate of enzymatic reactions with respect to substrate concentration. In its standard form, the equation is represented as V = (Vmax[S]) / (Km + [S]), where V is the reaction velocity, Vmax is the maximum reaction velocity, Km is the Michaelis constant, and [S] is the substrate concentration.

The Lineweaver-Burk plot, which is a linear transformation of the Michaelis-Menten equation, is derived by taking the reciprocal of both sides. By rearranging the equation, it can be converted into the form 1/V = (Km/Vmax)(1/[S]) + 1/Vmax. This rearrangement results in a linear plot where 1/V (the y-axis) is plotted against 1/[S] (the x-axis). The slope of this line equals Km/Vmax, and the y-intercept equals 1/Vmax, allowing for easy determination of these two important kinetic parameters.

In contrast, other graphical representations such as the Scatchard plot, Hanes-Woolf plot, and the double-reciprocal plot serve different purposes or do not provide a linear relationship based on the standard Michaelis-Menten equation in the same