Question 197343
<font face="Garamond" size="+2">


Step 1:  Use the two given points that define the given line and the two-point form of the equation of a line to derive the equation of the given line:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y - y_1 = \left(\frac{y_1 - y_2}{x_1 - x_2}\right)(x - x_1) ]


Step 2: Put your equation into slope-intercept form, that is, solve for <b><i>y</i></b> so that it looks like: *[tex \LARGE y = mx + b]


Then use the slope, <b><i>m</i></b>, of the given line that you can determine by inspection of the slope-intercept form of your equation and the fact that:


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


to determine the slope of the desired line.


Then use this new slope value, the given point, and the point-slope form of the equation of a line to derive the desired equation:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y - y_1 = m(x - x_1) ]


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