As an extra unit of the good is consumed, the marginal utility, i.e. the benefit derived from consuming the good, falls. Therefore, consumers are willing to pay less for the good.
Firms are interested in XED because it allows them to see how many competitors they have. Therefore, they are less likely to be affected by price changes by other firms, if they are selling complementary goods or substitutes
At price P1, a quantity of Q1 is supplied. At the lower price of P2, Q2 is supplied. This is a contraction of supply. If price increases from P2 to P1, QS increases from Q2 to Q1. This is an expansion of supply. Only changes in price will cause these movements along the supply curve.
Price changes do not shift the supply curve. A shift from S1 to S2 is an outward shift in supply, so a larger quantity of goods is supplied at the market price of P1. A shift from S3 to S1 is an inward shift in supply. More goods are supplied at the market price of P1.