Final answer:
Statement I is correct. The slope of an indifference curve represents the marginal rate of substitution. Statement II is correct. Each possible bundle of goods represents a unique level of utility, and therefore, there exists only one indifference curve that passes through a specific bundle of goods.
Step-by-step explanation:
Statement I is correct. The slope of an indifference curve represents the marginal rate of substitution (MRS), which measures the amount of the good on the Y-axis a consumer is willing to give up to obtain one more unit of the good on the X-axis. The MRS reflects the trade-off a consumer is willing to make between the two goods.
Statement II is correct. Each possible bundle of goods represents a unique level of utility, and therefore, there exists only one indifference curve that passes through a specific bundle of goods.