Is budget constraint the same as budget curve?

No, a budget constraint and a budget curve are not the same. The budget constraint refers to the limit on the consumption choices of an individual or household, representing the combinations of goods and services they can afford given their income and the prices of those goods. The budget curve, often referred to as the budget line, visually represents this constraint on a graph, showing all possible combinations of two goods that can be purchased within the budget. Essentially, the budget curve is a graphical representation of the budget constraint.