The image asks to "Write equations of the horizontal and the vertical lines that pass through the point (-3, 0)."

Let's break this down:

1. Horizontal Line: A horizontal line has the equation in the form $y = c$, where $c$ is the constant $y$-value for all points on the line. For the point (-3, 0), the horizontal line passes through $y = 0$.

   Equation of the horizontal line: $y = 0$

2. Vertical Line: A vertical line has the equation in the form $x = c$, where $c$ is the constant $x$-value for all points on the line. For the point (-3, 0), the vertical line passes through $x = -3$.

   Equation of the vertical line: $x = -3$

Thus, the two equations are:

• Horizontal line: $y = 0$
• Vertical line: $x = -3$

Would you like further details or explanations?

Here are some related questions:

1. What is the general form of an equation for a vertical line?
2. How do the slopes of horizontal and vertical lines differ?
3. How do these equations change if the point changes, say to (5, 7)?
4. Can a line be both horizontal and vertical at the same time?
5. How do you find the equation of a line passing through two given points?

Tip: Horizontal lines always have a slope of 0, while vertical lines have an undefined slope.