document.write( "Question 440722: Could someone please help me to graph the line containing the given pair of points and find the slope?
\n" ); document.write( "(6, 3) (-5, -2)
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Algebra.Com's Answer #853304 by ikleyn(53420)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "(6, 3) (-5, -2)
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\n" ); document.write( "\n" ); document.write( "        The exact solution  (the required equation)  to the problem should be expressed in rational numbers.\r
\n" ); document.write( "\n" ); document.write( "        But @mananth in his post works with decimal numbers with two decimals after the decimal point.\r
\n" ); document.write( "\n" ); document.write( "        Therefore,  his equation  IS  NOT  EXACT.  Due to this reason,  his solution can not be accepted \r
\n" ); document.write( "\n" ); document.write( "        as an ideal perfect solution to the problem.\r
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\n" ); document.write( "\n" ); document.write( "        Below I develop such an ideal perfect  EXACT  equation.\r
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document.write( "Calculate the slope  m = \"%28%28-2%29-3%29%2F%28%28-5%29-6%29\" = \"%28-5%29%2F%28-11%29\" = \"5%2F11\" = 0.454545...\r\n" );
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document.write( "So, an equation of the line in slope-intercept form is\r\n" );
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document.write( "    y = mx + b = \"%285%2F11%29x\" + b.\r\n" );
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document.write( "We should determine the value of 'b' in this equation. \r\n" );
document.write( "For it, substitute coordinates of the either given point into the equation\r\n" );
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document.write( "    3 = \"%285%2F11%29%2A6\" + b,\r\n" );
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document.write( "    b = 3 - \"30%2F11\" = \"%2833-30%29%2F11\" = \"3%2F11\".\r\n" );
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document.write( "The exact equation is\r\n" );
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document.write( "    y = \"%285%2F11%29x+%2B+3%2F11\".\r\n" );
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document.write( "At this point, the problem solved PRECISELY and CORRECTLY.\r\n" );
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\n" ); document.write( "\n" ); document.write( "I know (I just deciphered it out for myself some time ago) that solutions by @matanth are produced by the computer code.\r
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\n" ); document.write( "\n" ); document.write( "This mistake in the @manath solution (= in his code) should be fixed.\r
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