document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=664966>Question 664966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line that is perpendicular to the line that passes through the points (5,-2) and (-3,14) and passes through (7,9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413975 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=413975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perpendicular lines have a negative reciprocal slope.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "First, find the slope of the line through (5, -2) and (-3, 14)<BR>\n" );
document.write( "slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814-%28-2%29%29%2F%28-3+-+5%29+=+%2816%2F-8%29+=+-2 ALIGN=MIDDLE  ALT=\"%2814-%28-2%29%29%2F%28-3+-+5%29+=+%2816%2F-8%29+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "The negative reciprocal slope for the perpendicular line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Using the slope and the coordinates (7, 9), solve for y-intercept following<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "9 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >7 + b<BR>\n" );
document.write( "b = 9 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >7 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F2 ALIGN=MIDDLE  ALT=\"18%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F2 ALIGN=MIDDLE  ALT=\"7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F2 ALIGN=MIDDLE  ALT=\"11%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The linear equation for the perpendicular line that passes through (7, 9) is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+%281%2F2%29x+%2B+%2811%2F2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+%281%2F2%29x+%2B+%2811%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Red line --> line through (5, -2) and (-3, 14)<BR>\n" );
document.write( "Green line --> perpendicular line through (7, 9)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2x%2B8%2C+%281%2F2%29x%2B%2811%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2x%2B8%2C+%281%2F2%29x%2B%2811%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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