Set 15: Linear Functions (Intermediate)

Explanation

Answer: A

Which of the following represents a linear function with a negative slope?

$y = -3x + 2$

✓ Correct

$y = 3x - 2$

$y = 2$

$x = -3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Check the coefficient of $x$ . 1. Form: $y = mx + b$ . 2. Check A: $m = -3$ (Negative). 3. Check B: $m = 3$ (Positive). 4. Check C: $m = 0$ (Zero). 5. Check D: Undefined slope. Strategic Tip: Only a negative coefficient of $x$ indicates a negative slope. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $y = -3x + 2$

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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