Find the equation of the vertical line that passes through the point (3, −2).


The equation of a vertical line is always in the form of:

\[
x = a
\]

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

Given that the line passes through the point \( (3, -2) \), the \( x \)-coordinate is 3. Therefore, the equation of the vertical line is:

\[
x = 3
\]

Would you like more details or have any questions?

Here are some related questions for practice:
1. Find the equation of the vertical line passing through the point \( (-5, 4) \).
2. What is the equation of the vertical line that passes through \( (7, 0) \)?
3. How would you describe the slope of a vertical line?
4. Find the equation of the horizontal line passing through the point \( (3, -2) \).
5. Can a vertical line have a \( y \)-intercept?

**Tip:** The slope of a vertical line is undefined, as the change in \( x \)-values is zero, leading to division by zero when calculating the slope.

Find the equation of the vertical line that passes through the point (3, −2).

Find the equation of the vertical line that passes through the point (3, −2). This problem covers key concepts in coordinate geometry, specifically the formula for vertical lines. Suitable for students in Grades 6-8.

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