Why slope of Budget line is represented by Price Ratio?

Budget line represents the different combinations of  two goods that can purchased by the consumer given a fixed level of income and market prices for the two goods.

The budget line is therefore, 


On the other hand, the slope of a budget line measures the amount of good 2 that must be sacrifices in order to obtain additional amount of good1, with income fixed. 


this can be written as ,

This, is why the slope of a budget line is represented by a price ratio. 

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