document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=802591>Question 802591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Triangle QRS has vertices Q(-4,-1)R(-1,3)S(5,-3).<BR>\n" );
document.write( "Write the equation of the line containing the altitude through point R.<BR>\n" );
document.write( "Need Help studying for quiz! Would be nice for the answer and complete work! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483947 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The altitude through point R is the line that passes through R and is perpendicular to the line QS.<BR>\n" );
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document.write( "The slope of the line QS is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5BS%5D-y%5BQ%5D%29%2F%28x%5BS%5D-x%5BQ%5D%29=%28-3-%28-1%29%29%2F%285-%28-4%29%29=%28-3%2B1%29%2F%285%2B4%29=-2%2F9 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "The product of the slopes of two perpendicular lines is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So the slope of a line perpendicular to QS is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-1%29%2F%28%28-2%2F9%29%29=%28-1%29%2A%28-9%2F2%29=9%2F2 ALIGN=MIDDLE  ALT=\"m=%28-1%29%2F%28%28-2%2F9%29%29=%28-1%29%2A%28-9%2F2%29=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A point, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%22%28+x+%2C+y+%29%22+ ALIGN=MIDDLE  ALT=\"+%22%28+x+%2C+y+%29%22+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, on a line with slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > that passes through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+%28+x%5BP%5D+%2C+y%5BP%5D+%29+ ALIGN=MIDDLE  ALT=\"+P+%28+x%5BP%5D+%2C+y%5BP%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > satisfies<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y-y%5BP%5D%29%2F%28x-x%5BP%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y-y%5BP%5D%29%2F%28x-x%5BP%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5BP%5D=m%28x-x%5BP%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5BP%5D=m%28x-x%5BP%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(The equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5BP%5D=m%28x-x%5BP%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5BP%5D=m%28x-x%5BP%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is called the point-slope form of the equation of the line).<BR>\n" );
document.write( "Applying that to point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+%28+-1+%2C+3+%29+ ALIGN=MIDDLE  ALT=\"+R+%28+-1+%2C+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=9%2F2 ALIGN=MIDDLE  ALT=\"m=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-3=%289%2F2%29%28x-%28-1%29%29 ALIGN=MIDDLE  ALT=\"y-3=%289%2F2%29%28x-%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-3=%289%2F2%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"y-3=%289%2F2%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-3=%289%2F2%29x%2B9%2F2 ALIGN=MIDDLE  ALT=\"y-3=%289%2F2%29x%2B9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%289%2F2%29x%2B9%2F2%2B3 ALIGN=MIDDLE  ALT=\"y=%289%2F2%29x%2B9%2F2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%289%2F2%29x%2B15%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%289%2F2%29x%2B15%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28360%2C300%2C-5%2C7%2C-5%2C5%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28line%28-4%2C-1%2C-1%2C3%29%29%2C%0D%0Ablue%28line%28-1%2C3%2C5%2C-3%29%29%2C%0D%0Ablue%28line%28-4%2C-1%2C5%2C-3%29%29%2C%0D%0Agreen%28line%28-5%2C-15%2C1%2C12%29%29%2C%0D%0Agreen%28line%28-1.9%2C-1.05%2C-1.45%2C-1.15%29%29%2C%0D%0Agreen%28line%28-1.45%2C-1.15%2C-1.55%2C-1.6%29%29%2C%0D%0Alocate%28-4.3%2C-1%2CQ%29%2Clocate%28-1.3%2C3.5%2CR%29%2Clocate%285.1%2C-3%2CS%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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