Question 529735
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An equation of a line is nothing more than a rule whereby the set of ordered pairs comprising the line can be determined.  A vertical line has the unique characteristic that differentiates it from all lines that are not vertical in that all of the *[tex \Large x]-coordinates are identical in the set of ordered pairs that comprises the line.  Hence it is sufficient in writing an equation that describes a vertical line to specifiy the desired value of *[tex \Large x], and nothing else.


Therefore, if you need to write the equation of the vertical line that passes through the point *[tex \Large \left(\alpha,\,\beta\right)], it is sufficient to write:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \alpha]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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