document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=15290>Question 15290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a line passes through a(1,-3) and b(2,7)<BR>\n" );
document.write( "write the equation of a line perpendicular to a. how would you go about solving this problem?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7583 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=7583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the slope of the given line:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=+%28y%5B2%5D-y%5B1%5D%29%2F%28+x%5B2%5D+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m=+%28y%5B2%5D-y%5B1%5D%29%2F%28+x%5B2%5D+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=+%287-%28-3%29%29%2F%282-1%29+=+10%2F1+=+10 ALIGN=MIDDLE  ALT=\"m=+%287-%28-3%29%29%2F%282-1%29+=+10%2F1+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The slope of a line perpendicular to this line is tne negative reciprocal of the slope of this line.  So, the slope of a line perpendicular to this line has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2F10 ALIGN=MIDDLE  ALT=\"%28-1%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The equation of a line that is perpendicular to the line between these two points will be in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%2F10%29x%2Bb ALIGN=MIDDLE  ALT=\"y+=+%28-1%2F10%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > where b is the y-intercept of the line.  Notice that there are many, many (in fact, infinitely many) lines that are perpendicular to this line segment, and to determine which particular line you are looking for, more information must be given in the problem.\r<BR>\n" );
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document.write( "Final answer, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%2F10%29x%2Bb ALIGN=MIDDLE  ALT=\"y+=+%28-1%2F10%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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