Let's solve this problem.

We are asked to find the equations of the vertical and horizontal lines that pass through the point $(6, -2)$.

1. Equation of the vertical line:

   • A vertical line has the form $x = \text{constant}$, and the constant is the x-coordinate of the point it passes through.
   • Since the point is $(6, -2)$, the x-coordinate is 6.
   • Therefore, the equation of the vertical line is: $x = 6$

2. Equation of the horizontal line:

   • A horizontal line has the form $y = \text{constant}$, and the constant is the y-coordinate of the point it passes through.
   • The y-coordinate of the point is -2.
   • Therefore, the equation of the horizontal line is: $y = -2$

Summary:

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

Let me know if you need further details or explanations!

Related Questions:

1. What is the general equation for a line in slope-intercept form?
2. How do you find the slope of a vertical line?
3. What is the difference between vertical and horizontal lines in terms of slope?
4. How can you find the equation of a line through two points?
5. Can a line be both vertical and horizontal? If yes, in which case?

Tip:

The slope of a vertical line is undefined, while the slope of a horizontal line is always zero.