Choice C is the correct answer. Both equations are in slope-intercept form.

Analysis:

• First line: slope = $-\frac{1}{3}$, y-intercept = 4
• Second line: slope = $-\frac{1}{3}$, y-intercept = -2

Conclusion:

• Same slope → lines are parallel
• Different y-intercepts (4 ≠ -2) → lines never meet
• No solution

💡 Strategic Tip: Parallel lines with different intercepts never intersect.

Choice A is incorrect because one solution requires different slopes.

Choice B is incorrect because infinitely many solutions requires same slope AND same intercept.

Choice D is incorrect because linear systems cannot have exactly two solutions.