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

Analysis:

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

Conclusion:

• Same slope → lines are parallel
• Different y-intercepts (3 ≠ -4) → lines never meet

Parallel lines that don't overlap have no solution.

💡 Strategic Tip: In slope-intercept form, equal slopes with different intercepts always mean no solution.

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

Choice B is incorrect because one solution requires different slopes.

Choice D is incorrect because slope-intercept form makes it easy to determine.