Set 17: Linear Functions

Explanation

Answer: A

Determine if the lines $y = 3x - 2$ and $y = 3x + 5$ are parallel, perpendicular, or neither.

Parallel

✓ Correct

Perpendicular

Neither

Coincident

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Compare slopes. 1. Line 1: $m = 3$ . 2. Line 2: $m = 3$ . 3. Conclusion: Slopes are equal, intercepts differ. They are parallel. Strategic Tip: Same slope = Parallel. Choice B is incorrect because slopes are not negative reciprocals. Choice C is incorrect. Choice D is incorrect because intercepts differ.

Key Steps:

•

The correct answer is Parallel

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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