The equation given is:

$y = \frac{4}{3}x - 4$

This is a linear equation in slope-intercept form, $y = mx + b$, where:

• $m = \frac{4}{3}$ is the slope.
• $b = -4$ is the y-intercept, which means the line crosses the y-axis at $y = -4$.

To plot this line on the provided graph:

1. Start at the y-intercept: Locate $(0, -4)$ on the graph (on the y-axis).

2. Use the slope to find another point: The slope $\frac{4}{3}$ means you go up 4 units and right 3 units from the y-intercept. From $(0, -4)$, move up to $y = 0$ and over to $x = 3$. This gives the point $(3, 0)$.

3. Draw the line: Connect the points $(0, -4)$ and $(3, 0)$ with a straight line. Continue the line in both directions.

If you want more details or help with the graph, let me know!

Here are some additional questions you might find useful:

1. How do you interpret the slope in a linear equation?
2. How do we calculate the x-intercept of the equation?
3. What happens if the slope is negative?
4. How does the y-intercept affect the position of the line?
5. Can we solve for $x$ if $y = 0$ in this equation?

Tip: Remember that the slope is the "rise over run," meaning the change in y divided by the change in x.