document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761563>Question 761563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation of the line that passes through (-2,3) and is perpendicular to the line y=2x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463333 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=463333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First line is y = 2x + 1 \r<BR>\n" );
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document.write( "It is already of the form y = mx + c where m is the slope.\r<BR>\n" );
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document.write( "So slope of the first line = 2.\r<BR>\n" );
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document.write( "Therefore, slope of the perpendicular line = -1/2\r<BR>\n" );
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document.write( "(product of the slopes of perpendicular lines is -1)\r<BR>\n" );
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document.write( "The second line has slope -1/2 and passes through -2,3\r<BR>\n" );
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document.write( "Let its equation be y = mx + c where we already know m, and we know 1 set of values for x and y, but don't know c.\r<BR>\n" );
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document.write( "So, in the equation for the second line, we can substitute for y, m and x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+-1%2F2%2A-2+%2B+c ALIGN=MIDDLE  ALT=\"3+=+-1%2F2%2A-2+%2B+c\"   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=3+=+1+%2B+c ALIGN=MIDDLE  ALT=\"3+=+1+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Subtracting 1 from either side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+2 ALIGN=MIDDLE  ALT=\"c+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the equation to the second line with m = -1/2, c = 2 is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%281%2F2%29x+%2B+2 ALIGN=MIDDLE  ALT=\"y+=+-%281%2F2%29x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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