1. Lineweaver Burk plot (1/V vs 1/S)Hans Lineweaver and Deon Burk took the reciprocal of both the sides of M–M equation. V_o = V_max[S]/KS + [S]
   1/V_o = K_m + [S]/V_max [S]
   1/V_o = K_m/V_max[S] + [S]/V_max[S]
   1/V_o = K_m/V_max · 1/[S] +1/V_maxThis is the Lineweaver Burk (LB) equation.LB plot is then a double-reciprocal plot as shown in Figure 6.9.The plot is a straight line unlike M–M plot, which is hyperbolic. The plot is obtained when 1/V is plotted against 1/S.Figure 6.9 A Double-Reciprocal Plot or Lineweaver Burk PlotAdvantagesAn advantage of LB plot over other plot is that accurate determination of V_max is possible. One of the major applications of LB is to study enzyme inhibitor.DisadvantageFor high substrate concentration, when we insert it, we get less value and, therefore, a lot of errors will take place while determining the K_m.
2. Eadie–Hofstee plot (V vs V/S) V = V_max[S]/K_m + [S] (M–M equation)Taking reciprocal on both sides, 1/V_o = K_m/V_max[S] + 1/V_max (LB equation)Multiply by [S] on both sides. [S]/V = K_m[S]/V_max[S] + [S]/V_maxMultiply by V_max on both sides. [S]V_max /V_o = K_mV_max /V_max + [S]/V_max ·V_max
   [S]/V_o·V_max = K_m + [S]
   [S]V_max = V_oK_m + V_o[S]
   V_o[S] =−V_oK_m + V_max[S]Divide by [S] V_o =−K_m·V_o/[S] + V_maxThis is Eadie–Hofstee’s equation.AdvantagesEH plot is slightly superior to LB plot as it yields accurate V_max and K_m values and magnifies the deviation from linearity which might not be apparent in LB plot as shown in Figure 6.10.Figure 6.10 Eadie–Hofstee plotDisadvantageHere, there is still reciprocal of [S].
3. Augustsson plot [[S]/V vs [S]] or Hanes Wolf plot as shown in Figure 6.11. V_o = V_max[S]/K_m + [S] (M–M equation)Taking reciprocal, 1/V_o = K_m /V_max[S] + 1/V_max (LB plot)Multiply by[S] [S]/V_o = K_m[S]/V_max[S] + [S]/V_maxThis is Augustsson equation. [S]/V_o = 1/V_max · [S] +K_m/V_maxFigure 6.11 Hanes–Wolf Plot

Transformation of M–M equation is given in Table 6.6.

Table 6.6 Transformation of M–M Equation