Question 761241
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One characteristic of the line *[tex \LARGE x\ =\ -6] is that all points on the line have exactly the same *[tex \LARGE x] coordinate, namely *[tex \LARGE -6].  So when you try to calculate the slope using 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.


you end up with zero in the denominator regardless of what points you choose for the calculation.  The value of a rational expression with a zero denominator is undefined.  So the slope is ... 


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