Let X = ℝ × ℝ. Define a relation R on X by (a₁,b₁) R (a₂,b₂) ⇔ b₁ = b₂. Statement I: R is an equivalence relation. Statement II: For some (a,b) ∈ X, the set S = { (x,y) ∈ X : (x,y) R (a,b) } represents a line parallel to y = x.