Write an equation of the line satisfying the given conditions.

Vertical line through (6, -6)

x = 6.

(y can be anything, since the line is vertical)

To find the equation of a vertical line through a given point, we know that the x-coordinate of every point on the line will be the same, while the y-coordinate can vary.

In this case, the vertical line passes through the point (6, -6), so the x-coordinate is 6.

The equation of a vertical line passing through (6, -6) is written as:

x = 6.

Since x will always be 6 for any point on the line, this equation represents a vertical line passing through (6, -6).

To find the equation of a vertical line passing through a point, we need to recognize that a vertical line has an infinite slope and an x-coordinate that remains constant.

For this problem, we know that the line passes through the point (6, -6), and since it is vertical, the x-coordinate will remain constant. The equation of the line will have the form x = c, where c is the x-coordinate of the given point.

Therefore, the equation of the vertical line through (6, -6) is x = 6.