Write equations of the horizontal and the vertical lines that pass through the point ​(3​,0​).
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The equations of horizontal and vertical lines are straightforward:

1. **Horizontal line**: A horizontal line has a constant \( y \)-coordinate for every \( x \)-coordinate. Since the given point is \( (3, 0) \), the horizontal line will pass through \( y = 0 \). Therefore, the equation of the horizontal line is:
   \[
   y = 0
   \]

2. **Vertical line**: A vertical line has a constant \( x \)-coordinate for every \( y \)-coordinate. Since the given point is \( (3, 0) \), the vertical line will pass through \( x = 3 \). Therefore, the equation of the vertical line is:
   \[
   x = 3
   \]

Would you like any more details or clarifications?

Here are 5 related questions to expand your understanding:

1. How would the equations change if the point were \( (5, 2) \)?
2. What are the slopes of horizontal and vertical lines?
3. How do you graph horizontal and vertical lines on the coordinate plane?
4. How can you determine the equation of a line given two points?
5. What are the general forms of horizontal and vertical line equations?

**Tip**: A horizontal line always has a slope of 0, while a vertical line's slope is undefined.

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

Learn how to find the equations of the horizontal and vertical lines passing through the point (3, 0). This problem covers core geometry concepts, including line equations, and is suitable for students in Grades 6-8.

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