To write the equations of the horizontal and vertical lines that pass through the point $(-5, 0)$, we can follow these steps:

1. Horizontal Line Equation

A horizontal line has a constant $y$-value for all points on the line. Since the point given is $(-5, 0)$, the $y$-value is 0.

The equation of the horizontal line is: $y = 0$

2. Vertical Line Equation

A vertical line has a constant $x$-value for all points on the line. Since the point given is $(-5, 0)$, the $x$-value is $-5$.

The equation of the vertical line is: $x = -5$

Summary

• Horizontal Line: $y = 0$
• Vertical Line: $x = -5$

Do you want more details or have any questions?

Here are some related questions:

1. What is the general form of the equation of a horizontal line?
2. What is the general form of the equation of a vertical line?
3. How do you determine the slope of a horizontal line?
4. How do you determine the slope of a vertical line?
5. Can a line be both horizontal and vertical? Why or why not?

Tip: Remember, a horizontal line has a slope of 0, while a vertical line has an undefined slope.