Choice B is the correct answer. For no solution, we need parallel lines.

Analysis:

• First line: slope = -5, y-intercept = 8
• Second line: slope = $m$, y-intercept = -4

Condition for no solution:

• Same slope: $m = -5$
• Different y-intercepts: 8 ≠ -4 ✓ (already different)

With $m = -5$, both lines have slope -5 but different y-intercepts, making them parallel.

💡 Strategic Tip: Match slopes for parallel lines; keep different intercepts for no solution.

Choice A is incorrect because $m = 8$ gives different slopes (-5 and 8), resulting in one solution.

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

Choice D is incorrect because $m = -4$ gives different slopes, resulting in one solution.