Question 478629
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If you know one point and the slope of a line you can write an equation to represent that line using the <i><b>point-slope</b></i> form:


*[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 calculated slope.


Since you want a line parallel to the given line, use the fact that parallel lines have identical slopes, to wit:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  L_1\ \parallel\ L_2 \ \ \Leftrightarrow\ \ m_1\ =\ m_2]


Since your given equation is in standard form, namely *[tex \Large Ax\ +\ By\ =\ C], you can calculate the slope of the given line by *[tex \Large m\ =\ \frac{-A}{B}]


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