We are given two points, $(5, 0)$ and $(-8, 0)$, and need to find the equation of the line passing through these points.

Since both points have the same $y$-coordinate (0), the line is horizontal. The equation for a horizontal line is of the form:

$y = c$

where $c$ is the constant $y$-value of the points. In this case, since both points lie on the $x$-axis, the equation is:

$y = 0$

Thus, the equation of the line is:

$\boxed{y = 0}$

Would you like further clarification or details? Here are five related questions to expand your understanding:

1. What is the equation of a vertical line passing through the point $(3, 2)$?
2. How would you find the slope of a line given two points with different $y$-coordinates?
3. Can you explain how to find the equation of a line if the slope is known?
4. How do horizontal and vertical lines differ in terms of their equations?
5. What is the general form of a line equation in slope-intercept form?

Tip: For any pair of points with the same $y$-coordinate, the resulting line is always horizontal, with the equation $y = c$, where $c$ is the shared $y$-value.