Final answer:
The equation of the line that passes through the points (5, 0) and (-8, 0) is y = 0, which represents a horizontal line through these points on the x-axis.
Step-by-step explanation:
The equation of a line that passes through two points can be found using the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, the line passes through the points (5, 0) and (-8, 0), which are both on the x-axis, indicating that the line is horizontal. Therefore, the slope (m) of the line is 0 (since there is no rise between these two points), and the y-coordinate for the y-intercept is also 0, as the line passes through the origin.
Thus, the equation of the line that passes through the points (5, 0) and (-8, 0) is a horizontal line given by y = 0.