Answer:
- D) Yes, because its graph is a line that passes through the origin
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The form of the equation of a proportional relation is:
- y = kx, where k is the coefficient.
In the given case y = 1/2x, where k = 1/2, so it represents proportional relationship.
Answer choices:
A. Yes, because the coefficient of x is positive.
- False, as the coefficient of x can be negative too.
B. No, because it is not in the form y = kx.
- False, as it is in the form of y = kx.
C. No, because its graph does not pass through the origin.
- False, graph passes through the origin.
D. Yes, because its graph is a line that passes through the origin
- True, the graph passes through the origin; y = 0 at x = 0 regardless the value of k.