document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446858>Question 446858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slope of AC and BD. Decide whether AC is perpendicular to BD.<BR>\n" );
document.write( "A(-1,-2) B(-3,2) C(0,1) D(3,0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853324 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53595)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Find the slope of AC and BD. Decide whether AC is perpendicular to BD.<BR>\n" );
document.write( "A(-1,-2) B(-3,2) C(0,1) D(3,0)<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution in the post by @mananth is presented in monstrous form.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;He correctly determined that &nbsp;m1 = 1/3, &nbsp;but then he writes &nbsp;m2 = -0.33.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This is wrong.  &nbsp;What is &nbsp;TRUE, &nbsp;is that &nbsp;&nbsp;m2 = -1/3, &nbsp;but not &nbsp;-0.33.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So, &nbsp;the correct presentation should be as showed below.\r<BR>\n" );
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document.write( "Slope of Line Ac<BR>\n" );
document.write( "x1 y1 x2 y2<BR>\n" );
document.write( "-1 -2 0 1\r<BR>\n" );
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document.write( "slope m1 =(y2-y1)/(x2-x1)<BR>\n" );
document.write( "(1-(-2)/(0-1)<BR>\n" );
document.write( "(3/1)<BR>\n" );
document.write( "m1 = 3\r<BR>\n" );
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document.write( "Slope of line BD<BR>\n" );
document.write( "x1 y1 x2 y2<BR>\n" );
document.write( "-3 2 3 0\r<BR>\n" );
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document.write( "slope m2 =(y2-y1)/(x2-x1)<BR>\n" );
document.write( "(0-2)/( 3-(-3) )<BR>\n" );
document.write( "(-2/6)<BR>\n" );
document.write( "m2 = -1/3<BR>\n" );
document.write( "m1*m2=-1<BR>\n" );
document.write( "so the lines are perpendicular\r<BR>\n" );
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document.write( "This is the correct form to present the solution.\r<BR>\n" );
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document.write( "For @mananth, &nbsp;-1/3 &nbsp;and &nbsp;-0.33 is the same value, &nbsp;but it is not true - they are &nbsp;DIFFERENT !\r<BR>\n" );
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document.write( "In &nbsp;Math, &nbsp;to teach that &nbsp;-0.33 &nbsp;is the same as &nbsp;-1/3 &nbsp;- this is a &nbsp;CRIME &nbsp;(&nbsp;!&nbsp;)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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