Question 625708
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Step 1:  Compute the slope of the given line.  Since both variables are on the same side of the equals sign, divide the opposite of the coefficient on *[tex \LARGE x] by the coefficient on *[tex \LARGE y].


Step 2: Perpendicular lines have negative reciprocal slopes.  Take the negative reciprocal of the slope you just calculated to determine the slope of the desired line.


Use the slope-intercept form of an equation of a line, *[tex \LARGE y\ =\ mx\ +\ b].  Replace the slope, *[tex \LARGE m], with the number you calculated in step 2.


If you want a single example of an equation of a line perpendicular to the given line, pick a value for *[tex \LARGE b] and substitute it.  Otherwise, leave *[tex \LARGE b] as it is and you will have a representation of the family of equations of ALL lines perpendicular to the graph of the given equation.


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