Average annual charges for tuition, fees, room, and board (in dollars) at private nonprofit 4-year universities in the United States are shown in the graph.

(a) Use the information given for the years 2013 and 2017, letting x = 13 represent 2013 and x = 17 represent 2017, and letting y represent cost (in dollars), to write an equation that models the data. Write the equation in slope intercept form. Interpret the slope.

(b) Use the equation from part (a) to approximate costs at private 4-year universities in 2015.

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Costs at 4-Year Universities Dollars 50,000 48,000 46,000 44,000 42,000 42,920 46,950 Data from The College Board. HAKE 2013 2014 2015 2016 2017 Year