Final answer:
To determine which line would have the steepest slope, compare the ratio of the prices for organic apples and pears. The line with the higher price ratio will have the steeper slope on the graph.
Step-by-step explanation:
The question asks which line would have the steepest slope when organic apples and pears are added to a graph where the price for pears is represented by the equation y= 2.75x. Slope in this context represents the ratio of the price of one good over the price of another. To find which line has the steepest slope, you'll need to compare the ratios of the prices. A steeper slope would imply a higher price for the good on the vertical axis compared to the good on the horizontal axis. If we take an example where the price for bus tickets (horizontal axis) is 0.50 and the price for burgers (vertical axis) is 2, we get a slope of 0.25 by dividing 0.50 by 2. If organic apples and pears have higher prices than non-organic counterparts, the slope of their price lines will be steeper if the increase in price is more significant for the good on the vertical axis compared to the horizontal axis.
Regarding the observation about the slope being negative, this applies when you are looking at a trade-off situation where obtaining more of one good requires giving up some of another good; however, this may not apply directly to the scenario described, which seems to revolve around pricing rather than quantity trade-offs.