https://file.aiquickdraw.com/mathbot/file/1728632482212pmladcr5.jpg

For the two graphs in the image, we are asked to determine the **x- and y-intercepts** of each line.

### Problem 24:
- The line is diagonal and sloping upward from left to right.
- To find the **x-intercept**: Look at where the line crosses the x-axis (where \( y = 0 \)). The line crosses the x-axis at \( x = 2 \). Therefore, the **x-intercept** is \( (2, 0) \).
- To find the **y-intercept**: Look at where the line crosses the y-axis (where \( x = 0 \)). The line crosses the y-axis at \( y = -2 \). Therefore, the **y-intercept** is \( (0, -2) \).

### Problem 25:
- The line is horizontal, meaning it is constant at \( y = 2 \).
- For a horizontal line, there is **no x-intercept** because the line never crosses the x-axis.
- The **y-intercept** is where the line crosses the y-axis. In this case, the line crosses the y-axis at \( y = 2 \). Therefore, the **y-intercept** is \( (0, 2) \).

Would you like further details or explanations?

### Additional questions:
1. How do you find the intercepts of a line algebraically from its equation?
2. What is the significance of a horizontal line in terms of slope?
3. How would a vertical line look on this type of graph, and what are its intercepts?
4. Can a line have multiple x- or y-intercepts? Why or why not?
5. What is the slope of the line in problem 24 based on the graph?

### Tip:
To find intercepts easily, remember: set \( y = 0 \) to find the x-intercept and set \( x = 0 \) to find the y-intercept.

Determine the x- and y-intercepts for each line (graphs shown in the image).

Learn how to determine the x- and y-intercepts of linear equations using graphical analysis. The solution covers examples with diagonal and horizontal lines, making it suitable for students in Grades 6-8.

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