Indifference Curve maps consumer preferences between two goods. It shows different combinations of goods that provide equal satisfaction. Indifference curves are downward sloping and convex since marginal rate of substitution diminishes. An indifference map consists of multiple indifference curves showing higher satisfaction as one moves to the northeast. The budget line represents affordable combinations given prices and income. Consumer equilibrium occurs where an indifference curve is tangent to the budget line, allowing maximum satisfaction within constraints.