https://file.aiquickdraw.com/mathbot/file/17261632152014mqbf7tj.jpg

The graph shows a straight line with both an **x-intercept** and a **y-intercept**. 

- **The x-intercept** is the point where the line crosses the x-axis (where \( y = 0 \)). From the graph, the line crosses the x-axis at \( (-4, 0) \). Therefore, the x-intercept is \( -4 \).

- **The y-intercept** is the point where the line crosses the y-axis (where \( x = 0 \)). From the graph, the line crosses the y-axis at \( (0, 2) \). Therefore, the y-intercept is \( 2 \).

Thus:
- (a) x-intercept: \( -4 \)
- (b) y-intercept: \( 2 \)

Do you have any further questions or would you like more details? 

Here are 5 related questions to expand on this:

1. How do you calculate the slope of a line given two points on the graph?
2. What is the equation of this line in slope-intercept form?
3. Can a line have more than one x-intercept or y-intercept?
4. How can you find the intercepts algebraically from an equation?
5. How does changing the slope of the line affect the intercepts?

**Tip:** To find the intercepts of any line, set \( y = 0 \) for the x-intercept and \( x = 0 \) for the y-intercept.

Find the x-intercept and the y-intercept of the line below. Click on 'None' if applicable.

Learn how to find the x-intercept and y-intercept of a line based on its graph. This problem covers key concepts in linear algebra and coordinate geometry. Suitable for students in Grades 6-8.

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