V = V_max[S]/K_m(1 + I/K_i) + [S]
1/V = K_m(1 + I/K_i) + [S]/V_max[S]
1/V = K_m(1 + I/K_i)/V_max[S] + [S]/V_max[S]
1/V = K_m(1 + I/K_i)/V_max.1/[S] + 1/V_max (refer Table 6.8)

Table 6.8 LB Equation for Competitive Inhibition

1. It is an LB plot (double-reciprocal plot) obtained in the absence of I and with two different concentration of a competitive inhibitor.
2. Competitive inhibitor yields a family of lines with a common intercept on the 1/V_o axis but with different slopes.
3. Since the y intercept is 1/V_max, this states that an infinity high concentration of [S] (1/[S] = 0). V_i is the same as in the absence of inhibitor.
4. However the x intercept varies with inhibitor concentration and becomes a larger number in the presence of the competitive Inhibitor.
5. Thus, a competitive inhibitor varies the apparent K_m for the substrate.