document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55042>Question 55042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help!\r<BR>\n" );
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document.write( "Find the equation of the line that has the following characteristics;\r<BR>\n" );
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document.write( "A line perpendicular to y=3x - 2 and passing through (2,3)\r<BR>\n" );
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document.write( "Please express answer in \"slope-intercept form\"\r<BR>\n" );
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document.write( "Thankyou,\r<BR>\n" );
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document.write( "DB </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37276 by </B><A HREF=/tutors/aboutme.mpl?userid=Hook><B>Hook(36)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Hook><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=37276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember that if you're given a line of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx%2Bb%29 ALIGN=MIDDLE  ALT=\"y+=+mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > that any line perpendicular to that line must have the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-x%2Fm+%2Bb ALIGN=MIDDLE  ALT=\"y+=+-x%2Fm+%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In English, the slope of two perpendicular lines are negative reciprocals of each other. \r<BR>\n" );
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document.write( "so we know the answer looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-x%2F3+%2B+c ALIGN=MIDDLE  ALT=\"y+=+-x%2F3+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We just have to find c. Ah..but it must pass through (2,3). Ok...lets plop (2,3) into our line\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+-2%2F3%2Bc ALIGN=MIDDLE  ALT=\"3+=+-2%2F3%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F3+=+c ALIGN=MIDDLE  ALT=\"11%2F3+=+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Ok..that wasn't too hard. \r<BR>\n" );
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document.write( "Our answer looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-x%2F3%2B11%2F3 ALIGN=MIDDLE  ALT=\"y+=+-x%2F3%2B11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "CHECK: Lets graph both lines to see if this looks right\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C+-1%2C5%2C-1%2C5%2C3x-2%2C+-x%2F3%2B11%2F3%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C+-1%2C5%2C-1%2C5%2C3x-2%2C+-x%2F3%2B11%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The green one there is the answer...and it sure looks like it goes through (2,3) </SPAN>\n" );
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