Final answer:
Answer A) y = kx represents a proportional relationship where y changes at a constant rate as x changes. This relationship is characterized by a linear equation where k is the constant of proportionality, resulting in a straight line graph passing through the origin (0,0).
Step-by-step explanation:
The question asks which of the following represents a proportional relationship:
- A) y = kx
- B) y = kx + 5
- C) y = kx - 5
- D) y = k/x + 2
A proportional relationship is one in which two quantities are directly proportional, meaning they increase or decrease at the same rate. This is often expressed as y = kx, where k is a constant proportionality factor, and as a graph, it will be a straight line that passes through the origin (0,0). Therefore, the correct answer is A) y = kx, which is a linear equation representing a directly proportional relationship.