Geometry

Question Analysis
This question tests the ability to derive the contrapositive of a statement about points on a line in coordinate geometry.

Key Concept Explanation:
The contrapositive of "If P, then Q" is "If not Q, then not P."
It is logically equivalent to the original statement.

Step-by-Step Solution:
Original statement: "If a point lies on the line y = 2x + 3 (P), then its coordinates satisfy the equation y = 2x + 3 (Q)."
Contrapositive: "If a point's coordinates do not satisfy y = 2x + 3 (not Q), then it does not lie on the line y = 2x + 3 (not P)."
The contrapositive is true because it is logically equivalent to the original statement.

Option Analysis:
A: This is the converse, which is true but not the contrapositive.
B: Correct contrapositive and true.