Question 616676
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You cannot find "the" equation of any line.  You can only write "an" equation of a line.  In the first place, you could just substitute the values in the point-slope form and have an equation of the desired line, or you could solve for *[tex \Large y] to put it into slope-intercept form, or you could rearrange it into standard form, namely *[tex \Large Ax + By = C].  Furthermore, for a given *[tex \Large A], *[tex \Large B], and *[tex \Large C], *[tex \Large kAx + kBy = kC] where *[tex \Large k\ \in\ \mathbb{R}] describes a set of equations with an infinite number of elements, each of which graphs to the same line in *[tex \Large \mathbb{R}^2].


First put your given equation into slope intercept form.  Make sure that the coefficient on *[tex \LARGE x] is reduced to lowest terms if necessary.  Then, by inspection of the coefficient on *[tex \LARGE x] you can determine the slope of the given line.


Parallel lines have equal slopes.  Use the point-slope form of an equation of a line, the given point and the slope determined as described to write an equation of your desired line.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ m(x\ -\ x_1) ]


where *[tex \Large \left(x_1,y_1\right)] are the coordinates of the given point and *[tex \Large m] is the given/calculated slope.


Follow your instructor's or textbook's instructions as to form of your answer.


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