To solve this, we need to write the equations for both the horizontal and vertical lines that pass through the point $(6, -2)$.

1. Horizontal line: The equation of a horizontal line has the form $y = \text{constant}$. Since the line passes through $(6, -2)$, the value of $y$ is $-2$. Thus, the equation for the horizontal line is: $y = -2$

2. Vertical line: The equation of a vertical line has the form $x = \text{constant}$. Since the line passes through $(6, -2)$, the value of $x$ is $6$. Thus, the equation for the vertical line is: $x = 6$

So, the two equations are:

• Horizontal line: $y = -2$
• Vertical line: $x = 6$

Would you like more details or have any questions?

Here are 5 related questions to think about:

1. What is the general form of the equation of a line?
2. How would you graph a vertical line versus a horizontal line?
3. What would happen to the line equations if the point changes?
4. How do the slopes of horizontal and vertical lines compare?
5. How do you calculate the distance between two points on a vertical or horizontal line?

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