Question

which graph represents the equation y = 3x - 6?

Explanation:

Step1: Identify the slope - intercept form

The equation $y = 3x-6$ is in slope - intercept form $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. Here, $m = 3$ (positive slope) and $b=-6$.

Step2: Analyze the y - intercept

The y - intercept is the point where the line crosses the y - axis. For the equation $y = 3x-6$, when $x = 0$, $y=-6$.

Step3: Analyze the slope

A slope of $m = 3=\frac{3}{1}$ means that for every 1 unit increase in $x$, $y$ increases by 3 units.

Answer:

The graph with a y - intercept at $(0, - 6)$ and a positive slope should be chosen. Without seeing the specific details of each graph option, if we assume standard graphing conventions, we look for a line that crosses the y - axis at - 6 and rises from left to right.