The problem in the image asks to write the equation of the horizontal line passing through the point $(-8, -3)$.

Solution:

A horizontal line has a constant $y$-coordinate for all points on the line. The equation of a horizontal line is written as:

$y = \text{constant}.$

Since the given point is $(-8, -3)$, the $y$-coordinate is $-3$. Therefore, the equation of the horizontal line is:

$\boxed{y = -3}.$

Let me know if you'd like a detailed explanation or have additional questions!

Related Questions:

1. What is the equation of a vertical line passing through $(-8, -3)$?
2. How do you graph a horizontal line like $y = -3$ on a coordinate plane?
3. What is the slope of a horizontal line, and why?
4. If a horizontal line passes through another point, say $(2, -3)$, will the equation change?
5. What is the general form of a linear equation, and how does it apply to horizontal lines?

Tip:

Horizontal lines always have a slope of 0 because the $y$-value remains constant as $x$ changes!