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 .