What does a consumer's indifference curve do?

A consumer's indifference curve represents a graphical illustration of different combinations of two goods that provide the same level of utility or satisfaction to the consumer. Points along the curve indicate that the consumer is indifferent between those combinations, meaning they would derive equal satisfaction from any of them. The shape of the curve typically reflects the consumer's preferences and the rate at which they are willing to substitute one good for another. Indifference curves never intersect and are typically convex to the origin, illustrating diminishing marginal rates of substitution.