document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240840>Question 240840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	 Find the equation of the line that passes through the point (-2, 13) and is perpendicular to y = -2/5x + 3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176422 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=176422\">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( "The given equation is already in slope-intercept form, so you can determine the slope of the given line by inspection of the coefficient on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.\r<BR>\n" );
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document.write( "Use the fact that perpendicular lines have slopes that are negative reciprocals of each other, that is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  L_1 \perp L_2 \ \ \Leftrightarrow\ \ m_1 = -\frac{1}{m_2} \text{ and } m_1, m_2 \neq 0\">\r<BR>\n" );
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document.write( "to determine the slope of the desired line.\r<BR>\n" );
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document.write( "Now use the point-slope form of the equation of a line to write an equation of the desired line, that is:\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)\"> is the given point and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large m\"> is the slope you determined in the previous step.\r<BR>\n" );
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document.write( "You should ask your instructor or check for any instructions in your text as to the required final form of your answer such as slope-intercept or standard form.\r<BR>\n" );
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document.write( "Unfortunately, I cannot answer your question exactly as you stated it.  One cannot find <b><i>the</i></b> equation of a line.  That is because for any given set of ordered pairs that describe a straight line in a plane, there are an infinite number of equations that describe the relationship.  The best anyone can ever do is provide <b><i>an</i></b> equation of a line.\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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