For the given equation x²/9 - y²/7 = 1, determine whether it represents a hyperbola or ellipse. If a line y = mx + c intersects the hyperbola at exactly one point, what is the condition on m and c?
a) m = 0, c ≠ 0
b) m ≠ 0, c = 0
c) m ≠ 0, c ≠ 0
d) m = 0, c = 0