A demand curve that illustrates the law of demand __ has a positive slope is downward sloping shows the quantity demanded decreases as the price falls shows the quantity demanded remains the same when the price rises

## Step 1<br />The law of demand is a fundamental principle in economics that states that, all else being equal, as the price of a good or service increases, the quantity demanded decreases, and vice versa. This is because as the price of a good or service increases, consumers are less willing or able to pay for it, leading to a decrease in demand.<br /><br />## Step 2<br />This relationship between price and quantity demanded is typically represented graphically with a downward-sloping demand curve. This is because as the price increases, the quantity demanded decreases, which is shown by the downward slope of the curve.<br /><br />## Step 3<br />The other options provided in the question do not accurately represent the law of demand. A demand curve with a positive slope would imply that as the price increases, the quantity demanded also increases, which contradicts the law of demand. Similarly, a demand curve that shows the quantity demanded decreases as the price falls, or the quantity demanded remains the same when the price rises, also contradicts the law of demand.