Question 189823
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To write this equation, you need to use the point slope form of the 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 <i><b>m</b></i> is the desired slope.  The value of <i><b>m</b></i> can be determined from the given equation using the fact:


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


Since the given equation is already in slope-intercept form, namely,


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y = mx + b],


you can determine the necessary value for <i><b>m</b></i> by inspection.


The process is to substitute the indicated values into the point-slope form and do the appropriate arithmetic.  Once you have made the substitutions, you actually have an equation that fits the stated requirements of the problem.  So, technically speaking, you need do nothing else.  However, since the given equation was provided in slope-intercept form, it would be proper to present your derived equation in the same form.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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