Q.45 Scatchard analysis of ligand-receptor interaction yielded the graph shown below. The affinity of the ligand-receptor interaction can be obtained from Bound / Free Bound (molar) (A) Y intercept (B) X intercept (C) Slope of the line (D) Product of X intercept and Y intercept

Q.45 Scatchard analysis of ligand-receptor interaction yielded the graph shown below.
The affinity of the ligand-receptor interaction can be obtained from



Bound / Free
Bound (molar)

(A) Y intercept

(B) X intercept

(C) Slope of the line

(D) Product of X intercept and Y intercept

Correct Answer

Option (C): Slope of the line

Concept of Scatchard Analysis

Scatchard analysis is a graphical method used to study ligand–receptor
binding interactions and to determine binding affinity and total binding sites.

The Scatchard equation is:


Bound / Free = (Bmax − Bound) / Kd

In a Scatchard plot:

  • X-axis: Bound (molar)
  • Y-axis: Bound / Free

Parameters Obtained from the Scatchard Plot

  • Slope = −1 / Kd → Indicates affinity
  • X-intercept = Bmax → Total binding sites
  • Y-intercept = Bmax / Kd

Why Affinity Is Obtained from the Slope

Affinity is inversely proportional to the dissociation constant
Kd. Since the slope of the Scatchard plot equals
−1 / Kd, the slope directly represents
ligand–receptor affinity.

A steeper negative slope indicates higher affinity, while a flatter slope
indicates lower affinity.

Explanation of All Options

Option (A): Y-intercept – Incorrect

Y-intercept represents Bmax / Kd, not affinity alone.

Option (B): X-intercept – Incorrect

X-intercept represents Bmax, the total number of binding sites.

Option (C): Slope of the line – Correct

Slope equals −1 / Kd and directly indicates binding affinity.

Option (D): Product of X-intercept and Y-intercept – Incorrect

This has no defined biological significance in Scatchard analysis.

Exam Tip


In Scatchard analysis, ligand–receptor affinity is always obtained from the slope of the graph.

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