Question

1. which representation shows a linear function with a negative slope?

○ y = 2 - 3x
○ y = -3x + 2
○ y = 3x - 2
○ y = 2x + 3

Explanation:

Step1: Recall slope-intercept form

Linear functions follow $y=mx+b$, where $m$ is slope.

Step2: Identify slope for each option

• Option1: $y=2-3x$ rearranges to $y=-3x+2$, so $m=-3$
• Option2: $y=-3x+2$, so $m=-3$
• Option3: $y=3x-2$, so $m=3$
• Option4: $y=2x+3$, so $m=2$

Step3: Select negative slope options

Choose options where $m<0$.

Answer:

A. $y=2-3x$, B. $y=-3x+2$