document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198754>Question 198754</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0536944733/algebrahomeworkh>Intro & Inter Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Sorry I forgot to include the problem:\r<BR>\n" );
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document.write( "APPENDEX D 485/32 Section 8.1 at the back of the book.\r<BR>\n" );
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document.write( "Find an equation of each line.  Write the equation using function notation.  \r<BR>\n" );
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document.write( "Through (-4,8);  perpendicular to 2x – 3y=1   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149262 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=149262\">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:  Solve the given equation for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2x - 3y = 1 \ \ \Rightarrow\ \ -3y = -2x + 1 \ \ \Rightarrow\ \ y = \frac{2}{3}x - \frac{1}{3}\">\r<BR>\n" );
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document.write( "Now that the equation is in slope-intercept form you can see that the slope of the given line is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{2}{3}\">.\r<BR>\n" );
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document.write( "Step 2: Use the following rule to determine the slope of the desired line:\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( "In other words, find the negative reciprocal of the slope of the given line.\r<BR>\n" );
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document.write( "Step 3: Use the given point and the slope you determined in step 2 to substitute values into the point-slope form of the equation of a 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 you derived in step 2.\r<BR>\n" );
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document.write( "Since the problem only asks for 'an equation', you really don't have to do anything else, although typically you should either present the equation in slope-intercept (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y = mx + b\">) or standard (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large ax + by = c\">) 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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