Question

which of the following is the graph of $f(x) = 3x - 2$?

Explanation:

Step1: Identify the line type

The function $f(x)=3x-2$ is linear (form $y=mx+b$).

Step2: Find slope and intercept

Slope $m=3$ (positive, steep), y-intercept $b=-2$ (crosses y-axis at $(0,-2)$).

Step3: Check the graphs

The first graph has positive slope, crosses y-axis at $(0,-2)$, matching the function.

Answer:

The first graph (top one with red line crossing y=-2)