How were the secp256k1 base point coordinates decided?
Since the secp256k1 curve order is prime, every point on the curve except the point at infinity is a generator.

Nothing is known about how the designers of the curve chose this specific generator.

However, there is one tell-tale sign that hints about its construction. When the chosen generator G is multiplied by 1/2 (i.e. multiplied by the multiplicative inverse of 2 modulo the curve order), the resulting X coordinate is an exceptionally low number. This very likely means that G was created by picking that X, finding a corresponding Y on the curve, and then doubling the resulting point.