document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076932>Question 1076932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation for the line perpendicular to the line 4x + 20y = 6 having the same y-intercept as &#8722;5x &#8722; 7y = 56 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691511 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=691511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " Find an equation for the line perpendicular to the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+20y+=+6+ ALIGN=MIDDLE  ALT=\"4x+%2B+20y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "equation of the perpendicular line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if given that  the line perpendicular to the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+20y+=+6+ ALIGN=MIDDLE  ALT=\"4x+%2B+20y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, means they will have slopes negative reciprocal to each other\r<BR>\n" );
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document.write( "so, first find a slope of given line:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+20y+=+6+ ALIGN=MIDDLE  ALT=\"4x+%2B+20y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20y+=+-4x%2B6+ ALIGN=MIDDLE  ALT=\"+20y+=+-4x%2B6+\"   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%2F20%29x%2B6%2F20+ ALIGN=MIDDLE  ALT=\"+y+=+-%284%2F20%29x%2B6%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-%281%2F5%29x%2B3%2F10+ ALIGN=MIDDLE  ALT=\"+y+=+-%281%2F5%29x%2B3%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-%281%2F5%29 ALIGN=MIDDLE  ALT=\"m=-%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and its negative reciprocal will be a slope of the  perpendicular line:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-%281%2F5%29 ALIGN=MIDDLE  ALT=\"m=-%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, than negative reciprocal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F%28-%281%2F5%29%29 ALIGN=MIDDLE  ALT=\"-1%2F%28-%281%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now we have a slope, and your equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5x%2Bb ALIGN=MIDDLE  ALT=\"y=5x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > so far\r<BR>\n" );
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document.write( "since given that perpendicular line  having the same y-intercept as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x+-+7y+=+56+ ALIGN=MIDDLE  ALT=\"-5x+-+7y+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we need to find that   y-intercept\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x-56+=+7y+ ALIGN=MIDDLE  ALT=\"-5x-56+=+7y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F7%29x+-+56%2F7+ ALIGN=MIDDLE  ALT=\"y=-%285%2F7%29x+-+56%2F7+\"   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%2F7%29x+-8+ ALIGN=MIDDLE  ALT=\"y=-%285%2F7%29x+-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> y-intercept is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=+-8 ALIGN=MIDDLE  ALT=\"b=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your equation is:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5x-8 ALIGN=MIDDLE  ALT=\"y=5x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+5x-8%2C+-%281%2F5%29x%2B3%2F10%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+5x-8%2C+-%281%2F5%29x%2B3%2F10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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