document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197981>Question 1197981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the gradient of the lines with the equation<BR>\n" );
document.write( "3y+6x=12<BR>\n" );
document.write( "12x-4y-3=0<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831465 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</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=831465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "What is the gradient of the lines with the equation<BR>\n" );
document.write( "3y+6x=12<BR>\n" );
document.write( "12x-4y-3=0<BR>\n" );
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document.write( "For a line defined by a linear function, gradient is the same as (is the synonym of) the slope.\r\n" );
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document.write( "Therefore, the gradient of the first line,  3y + 6x = 12,  is -2,\r\n" );
document.write( "since from the equation  (a)  3y = 12 - 6x,  or  y = -2x + 4  with the slope of -2.\r\n" );
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document.write( "The gradient of the second line,  12x - 4y - 3  = 0,  is 3,\r\n" );
document.write( "since from the equation  (b)  4y = 12x - 3,  or  y = 3x - (3/4)  with the slope of 3.\r\n" );
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document.write( "Solved and explained.\r<BR>\n" );
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document.write( "The wording in your post is INCORRECT.\r<BR>\n" );
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document.write( "The correct wording is as follows:\r<BR>\n" );
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document.write( "    What are the gradients of the lines with equations\r\n" );
document.write( "        (a)  3y + 6x    = 12\r\n" );
document.write( "        (b) 12x - 4y -3 =  0\r\n" );
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document.write( "Your incorrect wording in the post reflects your incorrect thinking - <BR>\n" );
document.write( "- so be careful and accurate, &nbsp;when you compose/write/post/publish problems in &nbsp;Math &nbsp;(&nbsp;!&nbsp;)\r<BR>\n" );
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document.write( "Or consider to hire an assistant/(an expert)/(a professor), who will edit your writing after you . . . \r<BR>\n" );
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