Find the equation of the line that contains the point (5, -9) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.

A line with an undefined slope is a vertical line. The equation of a vertical line is always in the form:

\[
x = a
\]

where \( a \) is the x-coordinate of every point on the line.

Since the line passes through the point \( (5, -9) \), the x-coordinate is \( 5 \). Therefore, the equation of the line is:

\[
x = 5
\]

This is the equation of the vertical line that contains the point \( (5, -9) \).

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. What is the equation of a line with a slope of zero passing through \( (2, 3) \)?
2. How do you find the equation of a line with a given slope and a point?
3. What is the difference between the equation of a vertical line and a horizontal line?
4. Can a vertical line ever have a y-intercept? Why or why not?
5. How do you determine if a slope is positive, negative, zero, or undefined?

**Tip:** A vertical line has an undefined slope because the change in x between any two points on the line is zero, and division by zero is undefined.

Find the equation of a vertical line with an undefined slope that passes through the point (5, -9). This problem explores the concept of vertical lines and undefined slopes, commonly introduced in Grades 7-9 geometry and algebra classes.

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