Choice A is the correct answer. Passes through origin.

1. Condition: To form a triangle with axes, the line must NOT pass through the origin (where axes meet).
2. Check A: $y=2x$ passes through $(0,0)$. No triangle enclosed.
3. Check B: Intercepts at $-0.5$ and $1$. Triangle.

💡 Strategic Tip: Lines through the origin ($y=mx$) cannot enclose an area with the axes.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.