document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=808135>Question 808135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you know a point on a line and you know the equation of a line perpendicular to this line, explain how to write the line's equation.<BR>\n" );
document.write( "Please provide an example of the line. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #486776 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=486776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The unknown line will have the form:<BR>\n" );
document.write( "<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;\" ><BR>\n" );
document.write( "The constant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+ ALIGN=MIDDLE  ALT=\"+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope of the line<BR>\n" );
document.write( "The constant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the y-intercept<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Say you are given the point (3 , -2 )<BR>\n" );
document.write( "Plug these x and y values into the<BR>\n" );
document.write( "above equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2+=+m%2A3+%2B+b+ ALIGN=MIDDLE  ALT=\"+-2+=+m%2A3+%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=+3m+=+-b+-+2+ ALIGN=MIDDLE  ALT=\"+3m+=+-b+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Now you can use the slope information<BR>\n" );
document.write( "to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+ ALIGN=MIDDLE  ALT=\"+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that will give you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Suppose the slope of the line that is<BR>\n" );
document.write( "perpendicular to your unknown line is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m1+=+7+ ALIGN=MIDDLE  ALT=\"+m1+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Any line which is perpendicular to the<BR>\n" );
document.write( "given line will have a slope<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+-1%2F7+ ALIGN=MIDDLE  ALT=\"+m+=+-1%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( the negative reciprocal )<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Now you can say<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3m+=+-b+-+2+ ALIGN=MIDDLE  ALT=\"+3m+=+-b+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28-1%2F7%29+=+-b+-+2+ ALIGN=MIDDLE  ALT=\"+3%2A%28-1%2F7%29+=+-b+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F7+=+b+%2B+2+ ALIGN=MIDDLE  ALT=\"+3%2F7+=+b+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+3%2F7+-+2+ ALIGN=MIDDLE  ALT=\"+b+=+3%2F7+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+3%2F7+-14%2F7++ ALIGN=MIDDLE  ALT=\"+b+=+3%2F7+-14%2F7++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-11%2F7+ ALIGN=MIDDLE  ALT=\"+b+=+-11%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Now you can construct the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-1%2F7%29%2Ax+-+11%2F7+ ALIGN=MIDDLE  ALT=\"+y+=+%28-1%2F7%29%2Ax+-+11%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Does it go through ( 3.-2 ) ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2+=+%28-1%2F7%29%2A3+-+11%2F7+ ALIGN=MIDDLE  ALT=\"+-2+=+%28-1%2F7%29%2A3+-+11%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2+=+-3%2F7+-+11%2F7+ ALIGN=MIDDLE  ALT=\"+-2+=+-3%2F7+-+11%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2+=+-14%2F7+ ALIGN=MIDDLE  ALT=\"+-2+=+-14%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2+=+-2+ ALIGN=MIDDLE  ALT=\"+-2+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Here's a plot of the equation<BR>\n" );
document.write( "and also an equation perpendicular to it<BR>\n" );
document.write( "that goes through the origin ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+7x+ ALIGN=MIDDLE  ALT=\"+y+=+7x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+6%2C+7x%2C+%28-1%2F7%29%2Ax+-+11%2F7+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+6%2C+7x%2C+%28-1%2F7%29%2Ax+-+11%2F7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );