Set 6: Linear Functions

Explanation

Answer: A

What is the slope of any line parallel to $y = 3x - 5$ ?

$3$

✓ Correct

$-3$

$\frac{1}{3}$

$-\frac{1}{3}$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Parallel lines have equal slopes. 1. Identify Slope: The slope of $y = 3 x - 5$ is $3$ . 2. Parallel Condition: $m_{parallel} = m_{original}$ . 3. Result: $3$ . Strategic Tip: Parallel means "same steepness, same direction". Choice B is incorrect because sign change. Choice C is incorrect because reciprocal. Choice D is incorrect because negative reciprocal (perpendicular).

Key Steps:

•

The correct answer is $3$

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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