document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319545>Question 319545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation for the line that passes through the point (-1,4) and that is perpendicular to the line with the equation y=1/2x-5/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228858 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=228858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     Find the equation for the line that passes through the point (-1,4) and that is perpendicular to the line with the equation y=1/2x-5/2<BR>\n" );
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document.write( "For a line to be perpendicular the slopes must be \"negative reciprocal\" of each other.<BR>\n" );
document.write( "From the given equation, by inspection, the slope is 1/2.<BR>\n" );
document.write( "Our new slope (m) must be:<BR>\n" );
document.write( "m(1/2) = -1<BR>\n" );
document.write( "m = -2<BR>\n" );
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document.write( "Plug in the slope (-2) and the given point (-1, 4) into the \"point-slope\" form:<BR>\n" );
document.write( "y - y1 = m(x - x1)<BR>\n" );
document.write( "y - 4 = -2(x - (-1))<BR>\n" );
document.write( "y - 4 = -2(x + 1)<BR>\n" );
document.write( "y - 4 = -2x - 2<BR>\n" );
document.write( "y = -2x + 2  (this is what they're looking for)\r<BR>\n" );
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