You buy only apples and bananas. Your budget is such that you can purchase 3 apples and 4 bananas or 9 apples and 2 bananas. Write down the equation for the budget line with bananas on the y-axis. Is that equation unique?

Question

You buy only apples and bananas.  Your budget is such that you can purchase 3 apples and 4 bananas or 9 apples and 2 bananas.  Write down the equation for the budget line with bananas on the y-axis.  Is that equation unique?
I believe the answer is:
2y+9x=4y+3x   yes, it is unique because the two set points will not change regardless of income

economyst · Answer

Hummm. I think the equation is y=5-(1/3)x. Its unique because no other linear equation will hit both known possible consumption points (4,3) and (9,2)