Write the equation of the line that passes through the points left parenthesis, 6, comma, minus, 9, right parenthesis(6,−9) and left parenthesis, 6, comma, 9, right parenthesis(6,9). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

The two points given are \( (6, -9) \) and \( (6, 9) \). Since the x-coordinates of both points are the same, this means the line is **vertical**.

The equation of a vertical line is always in the form \( x = a \), where \( a \) is the x-coordinate of the points through which the line passes.

In this case, the x-coordinate of both points is 6. Therefore, the equation of the line is:

\[
x = 6
\]

Let me know if you have any questions or need further clarification!

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Here are five related questions:
1. What is the equation of a horizontal line passing through \( (3, 5) \) and \( (-4, 5) \)?
2. How do you find the slope of a line between two points?
3. What is the slope of a vertical line?
4. How does a vertical line differ from a horizontal line in terms of their equations?
5. Can a vertical line have a slope? Why or why not?

**Tip:** A vertical line has an undefined slope because division by zero occurs when calculating it.

Write the equation of the line that passes through the points (6, −9) and (6, 9). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Learn how to find the equation of a vertical line passing through the points (6, -9) and (6, 9). This problem covers key coordinate geometry concepts, focusing on the equation of vertical lines and understanding their properties. Suitable for students in Grades 8-10.

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