This statement is false. Although the slope of the demand curve and the price elasticity of demand are related concepts, they are not the same.
The slope of the demand curve measures the rate at which quantity demanded changes in response to a change in price. It is a constant for linear demand curves and is typically expressed as a ratio of the change in price to the change in quantity demanded (ΔP/ΔQ).
On the other hand, elasticity of demand measures the responsiveness of quantity demanded to changes in price in a more dynamic way. Specifically, it is calculated as the percentage change in quantity demanded divided by the percentage change in price. This can vary along different points of a linear demand curve. For instance, at higher prices, demand may be more elastic than at lower prices, meaning a small change in price might lead to a larger change in quantity demanded.
In summary, while both slope and elasticity relate to how demand responds to price changes, they are derived from different calculations and can provide different insights about consumer behavior. Therefore, the elasticity of demand is not the same as the slope of the demand curve.