Choice A is the correct answer. Same slope, new intercept.

1. Slope: Parallel to $y=2x+1$ means $m=2$.
2. Intercept: Passes through $(0, 4)$, so $b=4$.
3. Equation: $y = 2x + 4$.

💡 Strategic Tip: Keep the $mx$ part, change the $b$ part.

Choice B is incorrect because it is the same line (coincident, not distinct parallel usually, though technically parallel lines can be coincident in some definitions, usually distinct is implied. If distinct required, A is best. If not, A is still correct for the point). Choice C is incorrect because perpendicular. Choice D is incorrect because swaps slope and intercept.