6
algebra

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

A

y=4x+1y = 4x + 1

B

y=x+10y = x + 10

C

y=12x3y = \frac{1}{2}x - 3

D

y=2x+5y = -2x + 5

Correct Answer: A

Choice A is the correct answer. Compare the absolute values of the slopes.

  1. Original Slope: 2=2|2| = 2.
  2. Steepness: A line is steeper if the absolute value of its slope is greater.
  3. Compare:
    • A: 4=4|4| = 4 (4>24 > 2, Steeper)
    • B: 1=1|1| = 1 (Less steep)
    • C: 0.5=0.5|0.5| = 0.5 (Less steep)
    • D: 2=2|-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.