document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182627>Question 182627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> assignment reads: determine equation of the line described. Put answers in the slope-intercept form if possible:<BR>\n" );
document.write( "Through(8,1), parallel to -8x + 3y = -43 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137101 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=137101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Step 1:  Determine the slope of the line represented by the given equation.  Solve the given equation for <i>y</i>.  Then the slope, <i>m</i>, will be the resulting coefficient on <i>x</i>.\r<BR>\n" );
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document.write( "Step 2:  Parallel lines have equal slopes.  That is to say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math L_1 \para L_2 \ \ \Leftrightarrow\ \ m_1 = m_2\">\r<BR>\n" );
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document.write( "So, using the given point and the value of <i>m</i> determined in step 1, use the point-slope form of the equation of a line to develop your desired equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math P_1(x_1,y_1) = (8, 1)\"> so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math y - y_1 = m(x - x_1)\"> becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math y - 1 = m(x - 8)\">\r<BR>\n" );
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document.write( "Solve for <i>y</i> to put your final equation in slope-intercept form.  You should notice that your answer will differ from the results of step 1 by only the value of the constant term.\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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