Question 622477
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Undefined.  This is a vertical line.  One characteristic that makes this a vertical line is that the *[tex \LARGE x]-coordinate of every point on the line has the exact same *[tex \LARGE x]-coordinate value, in this case the value 5.


Consider the slope formula:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ m\ =\ \frac{y_1\ -\ y_2}{x_1\ -\ x_2} ]


where *[tex \Large \left(x_1,y_1\right)] and *[tex \Large \left(x_2,y_2\right)] are the coordinates of the given points.


Note that if both of the given points have the identical *[tex \LARGE x]-coordinates, then the denominator of the slope formula is zero.  Anything with a zero denominator is undefined.


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