document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313034>Question 313034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello my nam eis emerald and finals are tommorrow. my teacher gave me an answer sheet to the review, so i know the answer yet i dont know how to write it out and answer it can you help?\r<BR>\n" );
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document.write( "write the equation of the line that is parallel to the given line and passes through the given point.\r<BR>\n" );
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document.write( "y=-25x+9, (-1, -1).................the answer is y=-25x-26 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223851 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=223851\">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( "Step 1:  Determine the slope of the desired line.  In this case, you can simply do this by inspection.  That is because parallel lines have equal slopes and your given line is in slope-intercept form, namely: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\ =\ mx\ +\ b\">\r<BR>\n" );
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document.write( "Hence, the slope of the given line, which is the same as the slope we need for the desired line is just the coefficient on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">\r<BR>\n" );
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document.write( "Step 2:  Use the point-slope form of the equation of a line 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 of the desired line.  All you need do is plug in the numbers:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ (-1)\ =\ (-25)(x\ -\ (-1))\">\r<BR>\n" );
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document.write( "Step 3:  The only thing left to do is to put this equation into slope-intercept form so that it matches the answer you gave.\r<BR>\n" );
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document.write( "Distribute across the parentheses in the RHS:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ +\ 1\ =\ -25x\ -\ 25\">\r<BR>\n" );
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document.write( "Add -1 to both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ -25x\ -\ 26\">\r<BR>\n" );
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document.write( "Note that you cannot answer the question you asked exactly.  That is because you  wrote:  \"Write <b><i>the</i></b> equation of the line that is parallel...\"\r<BR>\n" );
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document.write( "The reason you can't do that is because there is no such thing as <b><i>the</i></b> equation of a line.  There are an infinite number of representations of any given line, so all you can do is to write <b><i>an</i></b> equation of the line you want.\r<BR>\n" );
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document.write( "Also, since you didn't specify the form of the answer, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE  y\ =\ -25x\ -\ 26\"> is not the only valid answer to this question.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE  y\ +\ 1\ =\ (-25)(x\ +\ 1)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 25x\ +\ y\ =\ -26\"> are both equally valid answers to the question <i>as you posed it.</i>\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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