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The problem asks to find the equation of the line that is perpendicular to the x-axis and passes through the point (-3, 2).

A line that is perpendicular to the x-axis is a **vertical line**. The equation of a vertical line is always in the form:

\[
x = a
\]

where \( a \) is the x-coordinate of the point through which the line passes.

In this case, the line passes through the point (-3, 2), so the x-coordinate is -3. Therefore, the equation of the line is:

\[
x = -3
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. What is the equation of a line parallel to the x-axis passing through the point (4, -5)?
2. How do you find the slope of a line that is parallel to the x-axis?
3. What is the equation of a vertical line passing through the point (7, -3)?
4. How do you determine if two lines are perpendicular in the coordinate plane?
5. What is the difference between the equation of a vertical line and a horizontal line?

**Tip:** A vertical line always has an undefined slope, while a horizontal line has a slope of 0.

Find the equation of the line that is perpendicular to the x-axis and passes through the point (-3,2). Give the full equation as your answer.

Learn how to find the equation of a line that is perpendicular to the x-axis and passes through the point (-3, 2). This problem covers essential concepts in coordinate geometry, such as vertical lines and their properties. Suitable for students in Grades 6-8.

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