A line with a slope of 0 is a horizontal line. Since it passes through the point (3, -5), its equation will have the form $y = c$, where $c$ is the y-coordinate of the point. Therefore, the equation for this line is:

$y = -5$

This can also be expressed as:

$y + 5 = 0$

Thus, the correct answer is:

c. $y + 5 = 0$

Would you like further details or explanations? Here are some related questions:

1. What is the general form of the equation for a line with a given slope?
2. How can you identify the slope of a line from its equation?
3. What are other forms of equations that represent horizontal lines?
4. How do you graph a horizontal line on a coordinate plane?
5. Can you find the equation of a vertical line, and how does it differ from a horizontal line?

Tip: Remember that the slope indicates the direction of the line: a slope of 0 means it’s perfectly horizontal.