To derive the equation for the relationship between the number of eggs, \( y \), and the amount of flour, \( x \), we note that for every 3 cups of flour, you need to add 2 eggs.
This can be expressed as:
\[ \frac{y}{x} = \frac{2 \text{ eggs}}{3 \text{ cups of flour}} \]
To express it in the form of an equation, we can rearrange this as:
\[ y = \frac{2}{3}x \]
This equation indicates that the number of eggs \( y \) is directly proportional to the amount of flour \( x \) (as the ratio of \( y \) to \( x \) remains constant).
Thus, the correct response is:
y = Start Fraction 2 over 3 End Fraction x, proportional.