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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.

What is an equation of the line that passes through the points (5, 0) and (−8, 0)?

Learn how to find the equation of a horizontal line passing through the points (5, 0) and (−8, 0). This problem highlights key concepts in linear equations, specifically dealing with horizontal lines, and is suitable for students in Grades 8-10.

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