Set 10: Linear Functions (Intermediate)

Explanation

Answer: A

Which equation represents a line that is steeper than $y = 2x + 5$ ?

$y = 4x + 1$

✓ Correct

$y = x + 10$

$y = \frac{1}{2}x - 3$

$y = -2x + 5$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Compare the absolute values of the slopes. 1. Original Slope: $|2| = 2$ . 2. Steepness: A line is steeper if the absolute value of its slope is greater. 3. Compare: - A: $|4| = 4$ ( $4> 2$ , Steeper) - B: $|1| = 1$ (Less steep) - C: $|0.5| = 0.5$ (Less steep) - D: $|-2| = 2$ (Same steepness) Strategic Tip: Ignore the sign when comparing steepness. A slope of -10 is steeper than a slope of 5. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $y = 4x + 1$

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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Set 10: Linear Functions (Intermediate)

Detailed Explanation

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