When gas prices are $\$2.77$ per gallon, the annual supply for gas in New York State is $136$ billion gallons and the annual demand is $141$ billion gallons. When the price increases to $\$3.25$ per gallon, the annual supply increases to $153$ billion gallons and the demand decreases to $133$ billion gallons.

(a) Assuming that the supply and demand equations are linear, find the supply and demand equations.

Supply Equation $p =$
Demand Equation $p =$

(Note: The equations should be in the form $p = mq + b$ where $p$ denotes the price (in dollars) and $q$ denotes the quantity (in billions). The slope and $y$-intercept should be accurate to two decimal places).

(b) Find the Equilibrium price and quantity.

Equilibrium price $p =$
Equilibrium quantity $q =$

(Note: The equilibrium price and quantity should be accurate to two decimal places, and the equilibrium price should include a dollar sign.).