The Lineweaver–Burk plot, which illustrates the reciprocal of the reaction rate ( 1 / v ) versus the reciprocal of the substrate concentration ( 1 / [ S ] ) , is a graphical representation of enzyme kinetics. This plot is typically used to determine the maximum rate, V max , and the Michaelis constant, K m , which can be gleaned from the intercepts and slope. Identify each intercept and the slope in terms of the constants V max and K m .