Article / Updated 03-26-2016
In a two-good model, the budget line is a simple straight line whose slope is the ratio of prices. But if, for instance, a tax changes the cost of a good relative to others, that is tantamount to a price change, and you can use the shape of the budget line to think about how to analyze the effect of the tax.
Before doing so, you have to be a bit more specific about the type of tax, because different taxes do different things to the shape of the budget line.