https://file.aiquickdraw.com/mathbot/file/172645041830884rwy4ho.jpg

The graph you've provided shows a vertical line passing through \( x = 2 \) on the Cartesian plane. A vertical line has the general equation \( x = c \), where \( c \) is a constant value representing the \( x \)-coordinate the line passes through.

In this case, since the line passes through \( x = 2 \), the equation of the line is:

\[
x = 2
\]

Would you like further clarification on this or additional details? 

Here are some follow-up questions related to this concept:

1. What is the equation of a horizontal line passing through \( y = 3 \)?
2. How would the equation change if the line shifted to \( x = -3 \)?
3. What is the slope of a vertical line like this one?
4. How would you represent a line passing through both \( (2, 4) \) and \( (2, -3) \)?
5. What happens to the equation if the line is not vertical but slanted?

**Tip**: The slope of a vertical line is undefined, which is why its equation is only dependent on the \( x \)-value.

What is the equation of the vertical line passing through the point shown in the image?

Explore how to determine the equation of a vertical line on a Cartesian plane. In this case, the vertical line passes through x = 2. Understand key concepts in coordinate geometry and linear equations. Suitable for students in Grades 6-8.

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