The text talks about how equilibrium price is affected by taxes and how the supplier and consumer are impacted. It also introduces the supply and demand functions for a market, as well as the producer surplus and its calculation. The relevance of intersections on a graph and their meaning is mentioned, along with how to find the equilibrium quantity by substituting the equilibrium price into the demand and supply equations. Finally, examples are given that demonstrate how different equations can be used to determine quantities and prices in a market.