Final answer:
The equation -4x + y = 4 is not directly proportional as it does not conform to the format y = kx and has a y-intercept that is not zero, which prevents it from representing a directly proportional relationship.
Step-by-step explanation:
The equation -4x + y = 4 cannot represent a directly proportional relationship because it does not have the form y = kx, where k is the constant of proportionality. In a directly proportional relationship, when one variable increases, the other increases at a constant rate, and the graph of the relationship will be a straight line passing through the origin (0,0). However, the given equation can be rearranged to y = 4x + 4. This equation shows that y depends on x, but since the y-intercept is not zero, it is not a direct proportionality. The constant 4 (the y-intercept) prevents us from saying that y is directly proportional to x because it introduces an additional value that y will have when x is zero.