document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153575>Question 153575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> line perpendicular to x-2y=24 and passing through (1,-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113049 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=113049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> line perpendicular to x-2y=24 and passing through (1,-3)<BR>\n" );
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document.write( "First, rearrange your expression to the \"slope intercept\" form:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "where<BR>\n" );
document.write( "m is slope<BR>\n" );
document.write( "b is the y-intercept<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Your equation:<BR>\n" );
document.write( "x-2y=24<BR>\n" );
document.write( "-2y = -x + 24<BR>\n" );
document.write( "y = (1/2)x - 12<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, we know that the \"slope\" (m) of<BR>\n" );
document.write( "x-2y=24<BR>\n" );
document.write( "is 1/2<BR>\n" );
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document.write( "A line perpendicular to the above MUST be the negative reciprocal:<BR>\n" );
document.write( "If our new slope is M then:<BR>\n" );
document.write( "(1/2)M = -1<BR>\n" );
document.write( "M = -2<BR>\n" );
document.write( "Therefore, our NEW line has a slope (m) of -2<BR>\n" );
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document.write( "Recapping:<BR>\n" );
document.write( "We now know our new line has<BR>\n" );
document.write( "slope (m) = -2<BR>\n" );
document.write( "AND<BR>\n" );
document.write( "it passes through:<BR>\n" );
document.write( "(1,-3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Plug the above back into the \"slope intercept\" form and solve for 'b':<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "-3 = (-2)(1) + b<BR>\n" );
document.write( "-3 = -2 + b<BR>\n" );
document.write( "-1 = b<BR>\n" );
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document.write( "We NOW know:<BR>\n" );
document.write( "b = -1<BR>\n" );
document.write( "m = (1/2)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Plugging it into:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "y = (1/2)x + (-1)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y = (1/2)x - 1 (this is your answer!)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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