Question:

In Hanes-Woolf Plot, graphing of [S]/v versus [S] yields a straight line whose slope and Y-intercept respectively are:

Show Hint

Hanes-Woolf plot: [S]/v vs [S].
Slope = 1/Vmax, Y-intercept = Km/Vmax.
Other linear plots: Lineweaver-Burk, Eadie-Hofstee.
  • K_m/V_max and 1/V_max
  • K_m/V_max and -K_m
  • 1/V_max and -1/K_m
  • 1/V_max and K_m/V_max
Show Solution
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Question:
This question tests knowledge of linear transformations of the Michaelis-Menten equation.

Step 2: Key Formula or Approach:

Michaelis-Menten equation: v = V_max[S]/(K_m + [S])
Rearranging: [S]/v = K_m/V_max + [S]/V_max
This is of the form y = mx + c, where:
y = [S]/v, x = [S],
slope = 1/V_max,
Y-intercept = K_m/V_max.

Step 3: Detailed Explanation:

In Hanes-Woolf plot:
- X-axis: [S]
- Y-axis: [S]/v
- Slope = 1/V_max
- Y-intercept = K_m/V_max
Thus, the slope is 1/V_max and the Y-intercept is K_m/V_max.

Step 4: Final Answer:

Thus, the slope and Y-intercept are 1/V_max and K_m/V_max, which corresponds to option (D).
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