To find the x-intercept and y-intercept of the line shown in the graph:

1. x-intercept: The x-intercept is the point where the line crosses the x-axis, which means $y = 0$. From the graph, we can see that the line crosses the x-axis at $(-3, 0)$. Hence, the x-intercept is $x = -3$.

2. y-intercept: The y-intercept is the point where the line crosses the y-axis, which means $x = 0$. From the graph, the line crosses the y-axis at $(0, 2)$. Hence, the y-intercept is $y = 2$.

Summary:

• (a) x-intercept: $x = -3$
• (b) y-intercept: $y = 2$

Would you like further clarification on this? Here are a few follow-up questions to expand on this topic:

1. How do you find the slope of the line from this graph?
2. What is the equation of the line based on the intercepts and slope?
3. Can you explain why the y-intercept happens when $x = 0$?
4. How would the graph change if the slope were negative?
5. How do you find intercepts for non-linear functions like parabolas?

Tip: The x-intercept and y-intercept are key points for any linear equation and can help quickly sketch the graph of the line.