Final answer:
The value of price elasticity of demand is not the same as the slope of the demand curve; price elasticity measures the percentage change in quantity demanded to a percentage change in price, unlike the slope's constant rate of change.
Step-by-step explanation:
The value of the price elasticity of demand is false when equated with the slope of the demand curve. While the slope refers to the rate of change in units along the curve or the rise over the run, elasticity is a measure of how much the quantity demanded will respond to a change in price. For example, a curve might have a constant slope but varying elasticity at different points. Price elasticity of demand is calculated as the percentage change in quantity demanded divided by the percentage change in price, which is different from simply calculating the slope. Consequently, as we can see from the example provided, moving from Point D to Point E represents an inelastic demand where elasticity is less than one, and it should not be confused with the slope which remains unchanged throughout the demand curve.