Set 8: Systems of Equations (Intermediate)

Choice D is correct. 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: $5\neq 2$ ✓ (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.