The equation of a line with a slope of 0 is a horizontal line. A horizontal line has the general form:

$y = c$

where $c$ is a constant, which represents the y-coordinate of all points on the line.

Since the line passes through the point $(5, -7)$, the y-coordinate is always $-7$. Therefore, the equation of the line is:

$y = -7$

Summary:

• The equation of the line is $y = -7$.
• This line is horizontal because its slope is 0.

Would you like any further explanation or have other questions on this?

Here are 5 related questions you might find interesting:

1. How do you find the equation of a line given a slope and a point?
2. What happens to the equation of a line when the slope is undefined?
3. How do you determine the slope of a line from two points?
4. How do horizontal and vertical lines differ in terms of equations?
5. Can a line with a slope of 0 have any curvature?

Tip: Horizontal lines always have the form $y = c$, where $c$ is the y-coordinate of any point on the line.