Final answer:
The equation that is NOT an example of a proportional relationship is y = -7 + 1.
Step-by-step explanation:
A proportional relationship is one in which the variables are directly proportional to each other. In other words, as one variable increases, the other variable also increases in a constant ratio. To determine which equation is NOT an example of a proportional relationship, we need to see if the equation is in the form y = kx, where k is a constant. Let's examine each equation:
a) y = -7 + 1: This is not a proportional relationship because it does not have the form y = kx. The variable x is not present in this equation.
b) y = 1/2x: This is a proportional relationship. As x increases, y increases in a constant ratio of 1/2.
c) y = 4x: This is a proportional relationship. As x increases, y increases in a constant ratio of 4.
d) y = -9x: This is a proportional relationship. As x increases, y decreases in a constant ratio of -9.
Therefore, the equation that is NOT an example of a proportional relationship is a) y = -7 + 1.