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A flat-tax systems is where the same tax rate is applied to everyone. A progressive tax system is when your income increases, so does your taxes. Beside this, what are the main differences between the flat regressive and progressive tax plans quizlet?A regressive tax system is where the lower class of people pay a bigger portion of income tax than higher class. What are the main differences between the flat, regressive, and progressive tax plans? The flat tax is the same for everybody, a regressive tax is the one that decreases with the more money you make, and progressive tax is when the tax increases axable amount increases.Click to see full answer.