1

Set 11: Linear Functions (Advanced)

Explanation

Answer: A

Which of the following lines is the steepest?

A.

y=−5x+1y = -5x + 1

✓ Correct
B.

y=3x+10y = 3x + 10

C.

y=4x−2y = 4x - 2

D.

y=12xy = \frac{1}{2}x

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Compare absolute slopes. 1. Slopes: ∣−5∣=5|-5|=5, ∣3∣=3|3|=3, ∣4∣=4|4|=4, ∣0.5∣=0.5|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+1y = -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.
Next →

🎯 Keep Practicing!

Master all sections for your best SAT score

📚Reading & Writing→📖Vocabulary→