document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82844>Question 82844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This one really confused me - please help!\r<BR>\n" );
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document.write( "Write the equation of the line that satisfies the given condition: contains the point (2,6) and is perpendicular to the line 4x-5y=7.\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59425 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you have a point and you know the slope, then you have all you need to write the equation of a line.<BR>\n" );
document.write( "The point is given.<BR>\n" );
document.write( "Whats the slope?<BR>\n" );
document.write( "I know that to find a perpendicular to any given line, the slope of<BR>\n" );
document.write( "that perpendicular will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bp%5D+=+-%281%2Fm%29 ALIGN=MIDDLE  ALT=\"m%5Bp%5D+=+-%281%2Fm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where m is the slope<BR>\n" );
document.write( "of the given line.<BR>\n" );
document.write( "So our line has a line intersecting it which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+5y+=+7 ALIGN=MIDDLE  ALT=\"4x+-+5y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Put it in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > where m is the slope<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+5y+=+7 ALIGN=MIDDLE  ALT=\"4x+-+5y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5y+=+-4x+%2B+7 ALIGN=MIDDLE  ALT=\"-5y+=+-4x+%2B+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+4x+-+7 ALIGN=MIDDLE  ALT=\"5y+=+4x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%284%2F5%29x+-+7%2F5 ALIGN=MIDDLE  ALT=\"y+=+%284%2F5%29x+-+7%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bp%5D+=+4%2F5 ALIGN=MIDDLE  ALT=\"m%5Bp%5D+=+4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Go back to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5Bp%5D+=+-%281%2Fm%29 ALIGN=MIDDLE  ALT=\"m%5Bp%5D+=+-%281%2Fm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and find m of the unknown line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5+=+-%281%2Fm%29 ALIGN=MIDDLE  ALT=\"4%2F5+=+-%281%2Fm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fm+=+-%284%2F5%29 ALIGN=MIDDLE  ALT=\"1%2Fm+=+-%284%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+-%284%2F5%29m ALIGN=MIDDLE  ALT=\"1+=+-%284%2F5%29m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-%285%2F4%29 ALIGN=MIDDLE  ALT=\"m+=+-%285%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the unknown line goes through (2,6) and has a slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%285%2F4%29 ALIGN=MIDDLE  ALT=\"-%285%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the point-slope formula which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y+-+y%5B1%5D%29+%2F+%28x+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m+=+%28y+-+y%5B1%5D%29+%2F+%28x+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%285%2F4%29+=+%28y+-+6%29+%2F+%28x+-+2%29 ALIGN=MIDDLE  ALT=\"-%285%2F4%29+=+%28y+-+6%29+%2F+%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%285%2F4%29%2A%28x+-+2%29+=+y+-+6 ALIGN=MIDDLE  ALT=\"-%285%2F4%29%2A%28x+-+2%29+=+y+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%285%2F4%29x+%2B+5%2F2+=+y+-+6 ALIGN=MIDDLE  ALT=\"-%285%2F4%29x+%2B+5%2F2+=+y+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x+%2B+10+=+4y+-+24 ALIGN=MIDDLE  ALT=\"-5x+%2B+10+=+4y+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+=+-5x+%2B+34 ALIGN=MIDDLE  ALT=\"4y+=+-5x+%2B+34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%285%2F4%29x+%2B+17%2F2 ALIGN=MIDDLE  ALT=\"y+=+-%285%2F4%29x+%2B+17%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "Is the slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%285%2F4%29 ALIGN=MIDDLE  ALT=\"-%285%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >? yes<BR>\n" );
document.write( "Does it contain the point (2,6)? Find out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%285%2F4%29x+%2B+17%2F2 ALIGN=MIDDLE  ALT=\"y+=+-%285%2F4%29x+%2B+17%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+-%285%2F4%29%2A2+%2B+17%2F2 ALIGN=MIDDLE  ALT=\"6+=+-%285%2F4%29%2A2+%2B+17%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+-%285%2F2%29+%2B+17%2F2 ALIGN=MIDDLE  ALT=\"6+=+-%285%2F2%29+%2B+17%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+=+-5+%2B+17 ALIGN=MIDDLE  ALT=\"12+=+-5+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+=+12 ALIGN=MIDDLE  ALT=\"12+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > yes<BR>\n" );
document.write( "The answer must be right </SPAN>\n" );
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