document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534332>Question 534332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I need help in the following questions, it's only two. Please help and explain how and why you got what you got. \r<BR>\n" );
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document.write( "Directions: Write an equation for the line that is perpendicular to the given line and that passes through the given point. \r<BR>\n" );
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document.write( "1. (-1,-4); y= 1/6x+1 <BR>\n" );
document.write( "2. (-5,5); y= -5x+9 \r<BR>\n" );
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document.write( "Please help, I know how to do it but when they twist it up like this i really don't get it. Please show all of the work and steps involved, and why. Thanks!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351467 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=351467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1)<BR>\n" );
document.write( "(-1,-4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F6%29%2Ax+%2B+1+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F6%29%2Ax+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+m%2Ax+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+m%2Ax+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+ ALIGN=MIDDLE  ALT=\"+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = slope<BR>\n" );
document.write( "ANY line perpendicular to this line<BR>\n" );
document.write( "will have slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+1%2Fm+ ALIGN=MIDDLE  ALT=\"+-+1%2Fm+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Your equation has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+m+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so any line<BR>\n" );
document.write( "perpendicular to it has slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+%281%2F%281%2F6%29%29+=+-6+ ALIGN=MIDDLE  ALT=\"+-+%281%2F%281%2F6%29%29+=+-6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "So far you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-6x+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+-6x+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. To find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, plug in<BR>\n" );
document.write( "(x,y) = (-1,-4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4+=+-6%2A%28-1%29+%2B+b+ ALIGN=MIDDLE  ALT=\"+-4+=+-6%2A%28-1%29+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4+=+6+%2B+b+ ALIGN=MIDDLE  ALT=\"+-4+=+6+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-4+-+6+ ALIGN=MIDDLE  ALT=\"+b+=+-4+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-10+ ALIGN=MIDDLE  ALT=\"+b+=+-10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation of the perpendicular line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-6x+-+10+ ALIGN=MIDDLE  ALT=\"+y+=+-6x+-+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(2)<BR>\n" );
document.write( "(-5,5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-5x+%2B+9+ ALIGN=MIDDLE  ALT=\"+y+=+-5x+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Slope of any perpendicular line = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-%281%2F%28-5%29%29+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+-%281%2F%28-5%29%29+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug in (x,y) = (-5,5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+%281%2F5%29%2A%28-5%29+%2B+b+ ALIGN=MIDDLE  ALT=\"+5+=+%281%2F5%29%2A%28-5%29+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+-1+%2B+b+ ALIGN=MIDDLE  ALT=\"+5+=+-1+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+6+ ALIGN=MIDDLE  ALT=\"+b+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F5%29%2Ax+%2B+6+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F5%29%2Ax+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here's a plot of these 2 lines:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-12%2C+12%2C+-12%2C+12%2C+-5x+%2B+9%2C+%281%2F5%29%2Ax+%2B+6%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-12%2C+12%2C+-12%2C+12%2C+-5x+%2B+9%2C+%281%2F5%29%2Ax+%2B+6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );