Let's analyze the graph to find the y-intercept and the x-intercept of the line.

(a) y-intercept:

• The y-intercept is the point where the line crosses the y-axis. This occurs when $x = 0$.
• From the graph, the line crosses the y-axis at $y = -2$.

Thus, the y-intercept is $-2$.

(b) x-intercept:

• The x-intercept is the point where the line crosses the x-axis. This occurs when $y = 0$.
• From the graph, the line crosses the x-axis at $x = 4$.

Thus, the x-intercept is $4$.

Final Answer:

• (a) y-intercept: $-2$
• (b) x-intercept: $4$

Would you like more explanation on how to derive intercepts from a graph or the equation of a line?

Related Questions:

1. How do you find the intercepts of a line from its equation?
2. What is the slope of this line, and how does it affect the intercepts?
3. How can you determine intercepts for a quadratic function?
4. How would the intercepts change if the line were steeper or flatter?
5. What happens to the intercepts if you shift the line horizontally or vertically?

Tip:

The y-intercept is found where $x = 0$, and the x-intercept is found where $y = 0$. These points are crucial for understanding the behavior of linear equations and their graphical representations.