Choice D is the correct answer. For no solution, the lines must be parallel (same slope, different y-intercepts).

Analysis:

• First line: slope = 3, y-intercept = 5
• Second line: slope = $m$, y-intercept = 2

Condition for no solution:

• Same slope: $m = 3$
• Different y-intercepts: $5 \ eq 2$ ✓ (already satisfied)

💡 Strategic Tip: Parallel lines in slope-intercept form have equal slopes but different y-intercepts.

Choice A is incorrect because $m = 2$ gives lines with different slopes (2 and 3), which intersect at one point.

Choice B is incorrect because $m = -3$ gives different slopes, so one solution.

Choice C is incorrect because $m = 5$ gives different slopes, so one solution.