https://file.aiquickdraw.com/mathbot/file/1732165309603so981p2o.jpg

From the uploaded image, I can assist you in determining the vertical and horizontal intercepts of the two graphs shown. Here's how to calculate them:

### Left Graph:
1. The line is horizontal, so it intersects the y-axis at one point.  
2. **Vertical intercept (y-intercept):**  
   The line crosses the y-axis at \( y = 10 \).

3. **Horizontal intercept (x-intercept):**  
   Since the line is horizontal and does not cross the x-axis, there is **no horizontal intercept**.

**Answer for the Left Graph:**
- Vertical Intercept: \( (0, 10) \)
- Horizontal Intercept: None

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### Right Graph:
1. The line is diagonal, so it intersects both axes.  
2. **Vertical intercept (y-intercept):**  
   The line crosses the y-axis at \( y = -25 \).  
   This point is \( (0, -25) \).

3. **Horizontal intercept (x-intercept):**  
   The line crosses the x-axis at \( x = 25 \).  
   This point is \( (25, 0) \).

**Answer for the Right Graph:**
- Vertical Intercept: \( (0, -25) \)
- Horizontal Intercept: \( (25, 0) \)

Would you like further clarification or help plotting similar intercepts?  

Here are 5 related questions to expand on the concept:
1. How can you calculate the slope of a diagonal line like the one in the right graph?
2. What are the general forms of equations for horizontal and diagonal lines?
3. How do changes in slope affect the intercepts of a line?
4. Can a line have multiple intercepts on the same axis? Why or why not?
5. How do vertical lines differ in intercept characteristics compared to horizontal ones?

**Tip:** Always remember that the y-intercept occurs where \( x = 0 \) and the x-intercept occurs where \( y = 0 \).

Determine the vertical and horizontal intercepts for the two graphs shown in the image.

Explore how to find the vertical and horizontal intercepts for linear graphs. Analyze the y-intercept and x-intercept for horizontal and diagonal lines, including a detailed explanation and example solutions. Suitable for Grades 8-10.

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