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

Analysis:

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

Conclusion:

• Same slope → lines have the same direction
• Different y-intercepts → lines are at different vertical positions
• Parallel lines that never meet

💡 Strategic Tip: Parallel lines run in the same direction but never touch.

Choice A is incorrect because perpendicular lines have slopes whose product is -1. Here: $(\frac{2}{3}) \times (\frac{2}{3}) = \frac{4}{9} \ eq -1$.

Choice B is incorrect because identical lines must have the same y-intercept.

Choice D is incorrect because lines with the same slope don't intersect at all (they're parallel).