Question 316663
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Solve the equation for *[tex \Large y] in terms of everything else.  That is to say do whatever is necessary to put the equation in the following form:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ mx\ +\ b]


Once you have done that, the slope is whatever the coefficient on *[tex \Large x] (the *[tex \Large m] in the equation above) turns out to be.


Your example:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 15\ +\ 3y\ =\ 4x]


Add *[tex \Large -15] to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3y\ =\ 4x\ -\ 15]


Multiply both sides by *[tex \Large \frac{1}{3}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \frac{4}{3}x\ -\ 5]


And there is the slope staring you right in the face right next to the *[tex \Large x].


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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