Q.Suppose a consumer can afford to buy 6 units of good 1 and 8 units of good 2 if she spends her entire income. The prices of the two goods are Rs 6 and Rs 8 respectively. How much is the consumer's income?

Let’s start with something you already know from daily life.

You walk into a shop with ₹100 in your pocket. You want to buy some notebooks and some pens. A notebook costs ₹20, a pen costs ₹10. You can’t buy everything you want — you have to choose. If you buy 4 notebooks, that’s ₹80 gone, and you can afford only 2 pens with the remaining ₹20. If you buy 6 pens, that’s ₹60, and you can afford only 2 notebooks. Every possible combination of notebooks and pens that costs exactly ₹100 forms a straight line on a graph. That line is your budget line.

The precise definition

In economics, the budget line (also called the budget constraint) shows all the combinations of two goods that a consumer can buy given their income and the prices of those goods. It is not a suggestion — it is a hard limit. You cannot spend more than your income.

The NCERT Class 11 textbook (Microeconomics, Chapter 2) states it clearly:

Where:

• $P_1$ = price of good 1
• $X_1$ = quantity of good 1
• $P_2$ = price of good 2
• $X_2$ = quantity of good 2
• $M$ = money income of the consumer

The equation says: total expenditure on both goods must exactly equal income. If you spend less, you are not using your full budget. If you spend more, it is impossible.

Why it matters

The budget line is the first real constraint in consumer theory. Before you can talk about what a consumer wants to buy (that comes later, with indifference curves), you must know what they can buy. The budget line separates the feasible from the impossible.

If you plot good 1 on the x-axis and good 2 on the y-axis, the budget line is a downward-sloping straight line. Its slope is $-P_1/P_2$. That slope has a real meaning: it tells you how many units of good 2 you must give up to get one more unit of good 1. Economists call this the opportunity cost of good 1 in terms of good 2.

What happens when things change?

The budget line shifts or rotates when either income or a price changes.

• Income changes: If your income rises, the entire line shifts outward (parallel to the original). You can now afford more of both goods. If income falls, it shifts inward.
• Price changes: If the price of good 1 falls, the line rotates — the intercept on the x-axis moves right, but the y-intercept stays the same (since the price of good 2 hasn’t changed). The slope becomes flatter. …