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The problem asks for the equations of the vertical and horizontal lines passing through the point \( (1, -2) \).

1. **Vertical Line**: A vertical line has a constant \( x \)-coordinate for all points. Since the line passes through \( (1, -2) \), the equation of the vertical line is:
   \[
   x = 1
   \]

2. **Horizontal Line**: A horizontal line has a constant \( y \)-coordinate for all points. Since the line passes through \( (1, -2) \), the equation of the horizontal line is:
   \[
   y = -2
   \]

So, the equations are:
- Vertical line: \( x = 1 \)
- Horizontal line: \( y = -2 \)

Would you like more details or have any other questions?

Here are five related questions:
1. What is the general form of the equation of a vertical line?
2. What is the general form of the equation of a horizontal line?
3. How can we find the slope of vertical and horizontal lines?
4. How do vertical and horizontal lines appear on a graph?
5. What would be the equation of a line parallel to \( x = 1 \) passing through a different point?

**Tip**: Vertical lines have an undefined slope, while horizontal lines

Write equations for the vertical and horizontal lines passing through the point (1, -2).

Discover the equations for vertical and horizontal lines passing through the point (1, -2). Learn the geometric concept of constant x- and y-coordinates and understand how to express these lines as linear equations. Suitable for students in Grades 6-8.

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