which graph represents the function y = 2x - 4?

Explanation:

Step1: Identify slope - intercept form

The equation $y = 2x-4$ is in slope - intercept form $y=mx + b$, where $m = 2$ (slope) and $b=-4$ (y - intercept).

Step2: Analyze y - intercept

The y - intercept is the point where the line crosses the y - axis. When $x = 0$, $y=-4$. So the line crosses the y - axis at the point $(0,-4)$.

Step3: Analyze slope

The slope $m = 2=\frac{2}{1}$, which means for every 1 unit increase in $x$, $y$ increases by 2 units.

Answer:

The graph that has a y - intercept at $(0, - 4)$ and a positive slope (rises from left to right with a "rise over run" of 2 over 1) is the correct one. Without seeing the specific options clearly labeled, you can identify it by these characteristics: a line that crosses the y - axis at - 4 and has a positive, moderately steep slope.