Question

1. which function has a steeper slope than $y = 2x + 1$?

$y = x + 1$
$y = 3x - 2$
$y = 2x + 3$
$y = -2x + 3$

Explanation:

Step1: Recall slope-intercept form

A linear function in the form $y=mx+b$ has slope $m$.

Step2: Identify reference slope

For $y=2x+1$, slope $m_1=2$. Steeper slope means $|m|>2$.

Step3: Analyze each option

• $y=x+1$: slope $m=1$, $|1|<2$
• $y=3x-2$: slope $m=3$, $|3|>2$
• $y=2x+3$: slope $m=2$, $|2|=2$
• $y=-2x+5$: slope $m=-2$, $|-2|=2$

Answer:

B. $y=3x-2$