document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252782>Question 252782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A road is to be constructed perpendicular to an established road. A surveyor determines that the original road passes through the points (4,9) and (2,13). The roads must intersect at (4,9) Write the equation of the second road. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184902 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope of the established road is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%2813-9%29%2F%282-4%29=4%2F-2=-2 ALIGN=MIDDLE  ALT=\"m=%2813-9%29%2F%282-4%29=4%2F-2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The slope of the perpendicular road is the negative reciprocal = 1/2.  If it passes through the point (4,9), then you would probably want to use the point slope formula:<BR>\n" );
document.write( "y-9=1/2(x-4)<BR>\n" );
document.write( "y-9=1/2x-2\r<BR>\n" );
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document.write( "Add +9 to each side:<BR>\n" );
document.write( "y=1/2x-2+9<BR>\n" );
document.write( "y=1/2x+7\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida </SPAN>\n" );
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