Final answer:
The equation y = 2x + 3 does not represent a proportional relationship because the constant term is 3.
Step-by-step explanation:
The equation y = 2x + 3 does not represent a proportional relationship. A proportional relationship is one in which a change in one variable leads to the same proportional change in the other. In this equation, the coefficient of x is 2, which means that for every 1 unit increase in x, y will increase by 2 units. This indicates that the relationship is linear, but not necessarily proportional. To determine if a relationship is proportional, we need the constant term to be 0. In this equation, the constant term is 3, which means that even when x is 0, y is still equal to 3. Therefore, the equation does not represent a proportional relationship.