https://file.aiquickdraw.com/mathbot/file/1728332430679we9sg7wc.jpg

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.

Find the y-intercept and the x-intercept of the line from the given graph.

Learn how to find the x-intercept and y-intercept of a line by analyzing its graph. In this example, the line crosses the y-axis at -2 and the x-axis at 4. Suitable for students in Grades 7-9.

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