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.