Find an equation of the line that satisfies the given conditions.

Through ​(0.1​,0.5​); vertical

Since the line is vertical, the equation will have the form x = a.

Since the line passes through (0.1, 0.5), this means that the x-coordinate of every point on the line is 0.1. Therefore, the equation of the line is x = 0.1.

If the line is vertical, it means that its slope is undefined. Since the line passes through the point (0.1, 0.5), the equation of the vertical line can be written as x = 0.1.

To find the equation of a vertical line, we need to consider that vertical lines have the equation of the form x = k, where k is a constant.

In this case, we are given that the line passes through the point (0.1, 0.5). Since the line is vertical, the x-coordinate for all points on the line will be the same, which is 0.1.

Therefore, the equation of the line that satisfies the given conditions is:
x = 0.1