Question 454369
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Your given equation has x and y on opposite sides of the equals sign, so the slope is simply the coefficient on x divided by the coefficient on y.


Parallel lines have identical slopes.  So the slope of the line you are trying to find is the same as the slope of the line that is the graph of the given equation.


Using the information of a given point and a given slope, 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 given/calculated slope.


Once you have inserted the values and done the indicated arithmetic, including distributing the slope value across the parenthetical binomial in the RHS, add the value of *[tex \Large y_1] to both sides to complete the transformation to the slope-intercept form.


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