The equation of a line with an undefined slope represents a vertical line. Vertical lines do not have a slope because they rise infinitely without running horizontally. Instead, they are defined exclusively by their x-coordinate.
When we say the line goes through the point (24), we mean that this vertical line will intersect the x-axis at the point where x equals 24. Therefore, the equation of the line can be expressed simply as:
x = 24
In this equation, for any value of y (whether positive, negative, or zero), the value of x will always be 24. It is important to remember that every point on this line will have the x-coordinate fixed at 24, while the y-coordinate can take on any value. This indicates the vertical nature of the line which is characteristic of equations with an undefined slope.