Final answer:
The equation y = 3x+6 does not represent a proportional relationship.
Step-by-step explanation:
The equation y = 3x+6 does not represent a proportional relationship. In a proportional relationship, the ratio between y and x remains constant. However, in this equation, the coefficient of x is 3, which means for every unit increase in x, y increases by 3.
If we plot the equation on a graph, we will see a straight line, but it will not pass through the origin (0,0). This is because the equation has a y-intercept of 6, indicating that when x is 0, y is already 6. In a proportional relationship, the line would pass through the origin.
Therefore, the equation y = 3x+6 does not represent a proportional relationship.