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A perfectly price-inelastic demand curve is vertical (Parallel to Y-axix) because the percentage change in quantity demanded is nil whatever the percentage change happens in price.
Demand curves almost always have negative slopes. The Y value being price and the X value being quantity. The higher the price, the more negative the slope. There are very rare conditions where a demand curve could have a positive slope, but its not normally used in business classes.
Because demand creates the price, and not the price dictates the demand.
There is not a formal abbreviation for the word demand. However, there are abbreviations for services such as video on demand (VOD) that you get from your television provider.
demand