Set 6: Linear Functions (Advanced)

Explanation

Answer: A

Which of the following lines is the steepest?

$y = -5x + 1$

✓ Correct

$y = 3x + 10$

$y = 4x - 2$

$y = \frac{1}{2}x$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Compare absolute slopes. 1. Slopes: $|-5|=5$ , $|3|=3$ , $|4|=4$ , $|0.5|=0.5$ . 2. Max: 5 is the largest magnitude. Strategic Tip: The sign tells direction; the number tells steepness. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $y = -5x + 1$

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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