Question 332692
<font face="Garamond" size="+2">


Step 1:  Determine the slope of the line represented by the given equation.  Since this equation is in slope-intercept form, namely *[tex \LARGE y\ =\ mx\ +\ b], this is a simple matter of examining the coefficient on *[tex \LARGE x].


Step 2:  Calculate the negative reciprocal of the slope number you determined in Step 1.  This is because perpendicular lines have slopes that are negative reciprocals:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  L_1\ \perp\ L_2 \ \ \Leftrightarrow\ \ m_1\ =\ -\frac{1}{m_2}\ \text{ and } m_1,\, m_2\, \neq\, 0]


Step 3:  Use the point-slope form of an equation of a line to write the desired equation:


*[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 from Step 2.


Depending on your instructor's or textbook's instructions, you may need to re-arrange your equation to put it into either slope-intercept form:


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


Or Standard form


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ Ax\ + By\ =\ C]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
</font>