3
algebraTwo lines have slopes and . Are they perpendicular?
A
No, unless or (with sign change)
B
Yes, always
C
No, never
D
Only if
Correct Answer: A
Choice A is the correct answer. Check product rule.
- Product: .
- Condition: Perpendicular lines must have a product of .
- Conclusion: They are reciprocals, but not negative reciprocals. So generally No.
💡 Strategic Tip: Don't forget the negative sign! and are perpendicular.
Choice B is incorrect because product is 1. Choice C is incorrect because they could be if involves complex numbers (out of scope) or specific sign errors in setup. Choice D is incorrect because undefined.