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The image asks to "Write equations of the horizontal and the vertical lines that pass through the point (-3, 0)."

Let's break this down:

1. **Horizontal Line**: A horizontal line has the equation in the form \( y = c \), where \( c \) is the constant \( y \)-value for all points on the line. For the point (-3, 0), the horizontal line passes through \( y = 0 \).

   **Equation of the horizontal line**: 
   \[
   y = 0
   \]

2. **Vertical Line**: A vertical line has the equation in the form \( x = c \), where \( c \) is the constant \( x \)-value for all points on the line. For the point (-3, 0), the vertical line passes through \( x = -3 \).

   **Equation of the vertical line**: 
   \[
   x = -3
   \]

Thus, the two equations are:

- Horizontal line: \( y = 0 \)
- Vertical line: \( x = -3 \)

Would you like further details or explanations?

Here are some related questions:

1. What is the general form of an equation for a vertical line?
2. How do the slopes of horizontal and vertical lines differ?
3. How do these equations change if the point changes, say to (5, 7)?
4. Can a line be both horizontal and vertical at the same time?
5. How do you find the equation of a line passing through two given points?

**Tip**: Horizontal lines always have a slope of 0, while vertical lines have an undefined slope.

Write equations of the horizontal and the vertical lines that pass through the point (-3, 0).

Learn how to write the equations of the horizontal and vertical lines that pass through the point (-3, 0). This problem involves linear equations and basic coordinate geometry concepts, suitable for students in Grades 6-8.

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