What is the equation of a vertical line that passes through the point (5, 1)?

A vertical line is defined as a line that runs up and down on the Cartesian plane, and it does not have a defined slope (since it would be undefined, due to division by zero). The equation of a vertical line can be represented in the form of x = a, where a is the x-coordinate of any point that lies on the line.

In the case of a vertical line passing through the point (5, 1), the x-coordinate is 5. Therefore, the equation of the vertical line would be:

x = 5

This means that for any value of y, the value of x will always be 5. So the points (5, 0), (5, 2), or (5, -3) all lie on this vertical line.

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