Set 11: Systems of Equations

Choice C is correct. 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: $(\frac{2}{3}) \times (\frac{2}{3}) = \frac{4}{9} \neq -1$. 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).