## Step 1: Identify the Type of Plot The plot shown is a **Lineweaver-Burk plot** (double reciprocal plot) of enzyme kinetics, where: - The y-axis is \( \frac{1}{V_0} \) (inverse of initial velocity) - The x-axis is \( \frac{1}{[S]} \) (inverse of substrate concentration) The equation of the Lineweaver-Burk plot is: \[ \frac{1}{V_0} = \frac{K_m}{V_{max}} \cdot \frac{1}{[S]} + \frac{1}{V_{max}} \] The x-intercept of this plot is \( -\frac{1}{K_m} \). **Explanation:** The value of \( K_m \) can be determined from the x-intercept of the plot. --- ## Step 2: Determine the x-intercept and Calculate \( K_m \) From the plot: - The x-intercept is at \( -0.002 \) (where the line crosses the x-axis, \( \frac{1}{[S]} \)). Since \( x\text{-intercept} = -\frac{1}{K_m} \): \[ -\frac{1}{K_m} = -0.002 \] \[ \frac{1}{K_m} = 0.002 \] \[ K_m = \frac{1}{0.002} = 500 \] **Explanation:** Using the x-intercept, we solve for \( K_m \). --- ## **Final Answer** \[ \boxed{500} \]