Final answer:
No, the equation y = -2x - 7 does not represent a proportional relationship.
Step-by-step explanation:
A proportional relationship is one where the ratio between two variables is always the same.
In this equation, the coefficient of x is -2, meaning that for every increase of 1 in x, y will decrease by 2. However, this ratio is not constant.
Therefore, the equation y = -2x - 7 does not represent a proportional relationship.
For example, if we take x = 1, then y = -2(1) - 7 = -9.
But if we take x = 2, then
y = -2(2) - 7
= -11.
The ratio between the change in x and the change in y is not the same, so the relationship is not proportional.