which graph represents the equation y = x - 3?

Explanation:

Step1: Identify the slope - intercept form

The equation $y = x - 3$ is in slope - intercept form $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. Here $m = 1$ and $b=-3$.

Step2: Analyze the y - intercept

The y - intercept $b=-3$ means the line crosses the y - axis at the point $(0,-3)$.

Step3: Analyze the slope

The slope $m = 1=\frac{1}{1}$, which means for every 1 unit increase in $x$, $y$ increases by 1 unit.

Answer:

The third graph (the one where the line crosses the y - axis at $(0, - 3)$ and has a positive slope).