The slope of the line in the equation \( y = 17.5x + 480 \) is 17.5. In the context of this equation, where \( y \) represents the mass of the Boxer puppies and \( x \) represents their age in days, the slope indicates the change in mass for each one-day increase in age.
Therefore, the best interpretation of the slope is:
Each additional day is associated with an additional 17.5 grams of mass.