The graph shows a line cutting through the $x$-axis and $y$-axis, allowing us to determine the intercepts:

• The $x$-intercept is where the line crosses the $x$-axis. This occurs when $y = 0$. Looking at the graph, the line crosses the $x$-axis around $(3, 0)$.

• The $y$-intercept is where the line crosses the $y$-axis. This happens when $x = 0$. From the graph, the line crosses the $y$-axis at about $(0, -1)$.

Final answer:

• $x$-intercept: $(3, 0)$
• $y$-intercept: $(0, -1)$

Would you like more details or explanations about how to find intercepts? Here are some follow-up questions you might find interesting:

1. How can we find the intercepts algebraically if we have the equation of the line?
2. What is the significance of the slope in determining the intercepts of a line?
3. How can we derive the equation of the line using the two intercepts?
4. How would the intercepts change if the line had a different slope?
5. Can a line have no intercepts on either the $x$- or $y$-axis?

Tip: The $y$-intercept is easier to spot when the graph is in slope-intercept form, $y = mx + b$, where $b$ is the $y$-intercept.