document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120391>Question 1120391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the lines that are both passing through the point (10,-8) with slopes 5 and -1/5.\r<BR>\n" );
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document.write( "Answer: ___ x - y - ____ = 0<BR>\n" );
document.write( "       x + ___ y+ ____ = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736117 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> both lines pass through the point (10,-8).<BR>\n" );
document.write( "slope of the first line is 5.<BR>\n" );
document.write( "slope of the second line is -1/5.\r<BR>\n" );
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document.write( "use the point slope form of the equation to solve this.\r<BR>\n" );
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document.write( "point slope form is (y-y1) = m * (x-x1)<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "y1 is the y-coordinate of the point.<BR>\n" );
document.write( "x1 is the x-coordinate of the point.\r<BR>\n" );
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document.write( "(y-y1) = m * (x-x1) becomes y+8 = 5 * (x-10)\r<BR>\n" );
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document.write( "simplify to get y + 8 = 5x - 50\r<BR>\n" );
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document.write( "subtract 5x from both sides of this equation and subtract 8 from both sides of this equation to get:\r<BR>\n" );
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document.write( "y - 5x = -50 - 8\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "y - 5x = -58\r<BR>\n" );
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document.write( "multiply both sides of this equation by -1 to get:\r<BR>\n" );
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document.write( "-y + 5x = 58\r<BR>\n" );
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document.write( "place the x variable ahead of the y variable to get:\r<BR>\n" );
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document.write( "5x - y = 58\r<BR>\n" );
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document.write( "subtract 58 from both sides of the equation to get:\r<BR>\n" );
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document.write( "5x - y - 58 = 0\r<BR>\n" );
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document.write( "your solution is 5x - y - 58 = 0\r<BR>\n" );
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document.write( " </SPAN>\n" );
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