The equation provided in the image is:

$y = \frac{1}{3}x - 4$

This is a linear equation in slope-intercept form, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Let's break down the components:

• Slope (m): $\frac{1}{3}$. This means for every 3 units you move horizontally to the right, the line will rise by 1 unit.
• Y-intercept (b): $-4$. This indicates that the line crosses the y-axis at the point (0, -4).

To graph this equation:

1. Start by plotting the y-intercept at (0, -4).
2. Use the slope $\frac{1}{3}$ to find the next point. From (0, -4), move 3 units to the right (along the x-axis) and 1 unit up (along the y-axis), landing at (3, -3).
3. Plot that point, and then draw a line through the two points.

Would you like to see more detailed steps for graphing or any clarifications?

Here are five questions related to this topic for further practice:

1. How would you graph a line with a slope of $-\frac{2}{5}$ and a y-intercept of 2?
2. What happens to the graph of a line if the slope is zero?
3. How would you identify the slope and y-intercept from the equation $y = -2x + 1$?
4. How do you determine if two lines are parallel by looking at their equations?
5. What changes occur in the graph if the equation becomes $y = \frac{1}{3}x + 2$ instead?

Tip: Always plot at least two points when graphing a line, and use the slope to find additional points to ensure accuracy!