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To write the equations of the vertical and horizontal lines passing through the point \((8, -6)\), let's break it down:

1. **Vertical Line**: 
   A vertical line has the form \( x = c \), where \( c \) is the constant \( x \)-coordinate for every point on the line. Since the given point is \((8, -6)\), the vertical line will be:
   \[
   x = 8
   \]

2. **Horizontal Line**: 
   A horizontal line has the form \( y = c \), where \( c \) is the constant \( y \)-coordinate for every point on the line. In this case, since the given point is \((8, -6)\), the horizontal line will be:
   \[
   y = -6
   \]

### Final Answer:
- Vertical Line: \( x = 8 \)
- Horizontal Line: \( y = -6 \)

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. How do you determine the slope of a vertical line?
2. What is the equation of a line parallel to \( y = -6 \)?
3. Can a line be both vertical and horizontal?
4. How do you find the distance between two points on a vertical line?
5. How would you write the equation for a line passing through \((8, -6)\) with a given slope?

**Tip**: Vertical lines have an undefined slope, while horizontal lines have a slope of zero!

Write equations for the vertical and horizontal lines passing through the point (8, -6).

Learn how to find the equations for the vertical and horizontal lines passing through the point (8, -6). This solution covers key concepts in coordinate geometry and line equations, perfect for students in Grades 7-9.

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