The way that this policy is going to be known to affect the consumers budget line is that it would make the budget line flatter.
First the formula for the intercept is given as
budget divided by the price of the good on their different axis.
The exemption of taxes is going to make the price of the good on x to fall. This would then raise the ability to afford it. The intercept then goes to the right. Hence it is flatter.
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