document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250242>Question 250242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with how to find the equation of the line. <BR>\n" );
document.write( "Here is the problem: <BR>\n" );
document.write( "Find the equation of the line parallel to 2x+4y=9 and passing through the point (6,-2).\r<BR>\n" );
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document.write( "If someone could walk me through the steps on how to find the answer i would really appreciate it i have a final in two days! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182169 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=182169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "In point of fact, you cannot do what you ask to be done.  You cannot find \"the\" equation of any line.  That is because there are an infinite number of equations that represent any given line.  What you can do is find \"an\" equation that fits the given parameters.  Herewith the method:\r<BR>\n" );
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document.write( "Step 1:  Solve the given equation for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\"> in terms of everything else.  In other words, put the given equation into slope-intercept form, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\ =\ mx\ +\ b\">\r<BR>\n" );
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document.write( "Step 2: Use the fact that parallel lines have equal slopes, which is to say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  L_1\ \parallel\ L_2 \ \ \Leftrightarrow\ \ m_1\ =\ m_2\">\r<BR>\n" );
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document.write( "to determine the slope of the desired line by inspection of the coefficient on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> in the slope-intercept form equation that resulted from the completion of step 1.\r<BR>\n" );
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document.write( "Step 3: Use the point-slope form, the coordinates of the given point, and the slope determined in Step 2 to write an equation of the desired line.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ m(x\ -\ x_1) \">\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x_1,y_1\right)\"> are the coordinates of the given point and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m\"> is the slope.\r<BR>\n" );
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document.write( "Step 4: If necessary, either because the problem instructions require it, or because you need to have the equation in a particular form in order to use it in a subsequent calculation, rearrange the equation into an appropriate form.  Two very common form requirements are slope-intercept form (shown in step 1 of this procedure) and Standard Form, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE Ax\ +\ By\ =\ C\">.  Note: Some texts require that A, B, and C be integers for proper standard form.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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