Final Answer:
The equation y = 9x + 4 is not proportional. In a proportional relationship, the equation is in the form y = kx, where k is a constant. In this case, the presence of the constant term 4 makes the relationship non-proportional.
B. Not Proportional
Step-by-step explanation:
A proportional relationship between two variables, such as y and x, is characterized by a constant ratio between their values. In mathematical terms, a proportional equation takes the form y = kx, where k is a constant multiplier. This implies that as x changes, y changes in direct proportion, maintaining a consistent ratio.
However, the equation y = 9x + 4 deviates from this form, as it includes an additional constant term, 4. In this context, the term 9x represents a linear relationship, indicating that for each unit increase in x, y increases by 9 units. Yet, the constant term 4 introduces a fixed value to y regardless of the value of x, disrupting the constant ratio characteristic of proportionality.
The inclusion of a constant term signifies that the relationship between y and x is not purely dependent on their direct proportion. Consequently, the equation y = 9x + 4 is classified as non-proportional due to the presence of this additional constant, reflecting a more complex and variable-dependent association between the two variables.