Question 334622
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Step 1: Put your given equation into slope-intercept form, *[tex \LARGE y\ =\ mx\ +\ b].


Step 2: Determine the slope of the line represented by the given equation by inspection of the coefficient on *[tex \LARGE x] in the result of step 1.


Step 3: Recognize that parallel lines have identical slopes.


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


Step 4: Use the point-slope form of an equation of a 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 slope determined in Steps 2 and 3.


Strictly speaking according to the way you posed your question, you are done after step 4.  However, you may have an unstated requirement to put your answer into either slope-intercept, *[tex \LARGE y\ =\ mx\ +\ b], form or into standard, *[tex \LARGE Ax\ +\ By\ =\ C], form.  If so, step 5 is to manipulate the result of step 4 appropriately.


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