Final answer:
Yes, the equation y = 2x - 2 represents a directly proportional relationship.
Step-by-step explanation:
Yes, the equation y = 2x - 2 represents a directly proportional relationship.
In a direct proportion, a change in one quantity results in a proportional change in the other quantity. The general form of a direct proportion equation is y = kx, where k is the proportionality constant.
In this case, the constant is 2, which means that for every unit increase in x, y will increase by 2 units.
For example, if x = 3, then y = 2(3) - 2 = 4.
If x increases to 4, y will increase to 6 (2(4) - 2 = 6).
And if x decreases to 2, y will also decrease to 2 (2(2) - 2 = 2).