The problem asks to write the equation of a horizontal line that passes through the point $(-5, 2)$.

Solution:

A horizontal line has a constant $y$-value, meaning that no matter what the $x$-value is, the $y$-value remains the same. The equation for such a line is of the form:

$y = c$

Where $c$ is the constant $y$-value of the line. In this case, the line passes through the point $(-5, 2)$, so the $y$-value is $2$. Therefore, the equation of the horizontal line is:

$y = 2$

Would you like further clarification or details on this?

Here are 5 related questions you might find helpful:

1. What is the equation of a vertical line passing through $(-5, 2)$?
2. How can you graph a horizontal line on the coordinate plane?
3. What is the slope of a horizontal line?
4. How does the equation of a line change if it's not horizontal or vertical?
5. How would the equation change if the line passed through a different point, say $(3, -4)$?

Tip: The slope of a horizontal line is always $0$ because there is no change in the $y$-value regardless of how much $x$ changes.