Question 207181
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Since there is no *[tex \Large y] variable in your original equation, you cannot put the equation into slope-intercept form. In the first place, you can't just willy-nilly substitute *[tex \Large y] for *[tex \Large x].  There are points on the plane where *[tex \Large x] and *[tex \Large y] have the same value but they are NEVER the same thing.  The only thing you can do with the given equation is add 4 to both sides, thus:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x - 4 = 7]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x = 11]  is the equation.


This equation represents the set of points where the *[tex \Large x]-coordinate is 11, and the *[tex \Large y]-coordinate is any real number value.  In other words a vertical line that intersects the *[tex \Large x]-axis at the point *[tex \Large \left(11,0\right)].  As you should be aware, the slope of a vertical line is undefined, and a vertical line, except the one at *[tex \Large x = 0] is parallel to and never intercepts the *[tex \Large y]-axis.  So with an undefined slope and no *[tex \Large y]-intercept, it is impossible to represent the equation in slope-intercept form.


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