document.write( "Question 448767: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b.
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Algebra.Com's Answer #853351 by ikleyn(53614)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Write an equation of the line containing the given point and parallel to the given line.
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\n" ); document.write( "\n" ); document.write( "        The solution in the post by @mananth is  INCORRECT.\r
\n" ); document.write( "\n" ); document.write( "        See my correct solution below.\r
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document.write( "The original equation/line is \r\n" );
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document.write( "    x + 7y = 2\r\n" );
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document.write( "Find the slope of this line\r\n" );
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document.write( "    7y = -1x + 2\r\n" );
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document.write( "Divide by 7\r\n" );
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document.write( "    y = \"-%281%2F7%29x\" + \"2%2F7\".\r\n" );
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document.write( "The slope is  m = \"-1%2F7\".\r\n" );
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document.write( "The slope of a line parallel to the above line will be the same\r\n" );
document.write( "The slope of the required line will be \"-1%2F7\".    <<<---===  not -0.14, as @mananth mistakenly states !\r\n" );
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document.write( "m= \"-1%2F7\", point (8,9)\r\n" );
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document.write( "Find b by plugging the values of m & the point in\r\n" );
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document.write( "    y = mx + b\r\n" );
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document.write( "    9 = \"-8%2F7\" + b\r\n" );
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document.write( "    b = 10\"1%2F7\"\r\n" );
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document.write( "    m = \"-1%2F7\"\r\n" );
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document.write( "Plug value of the slope and b\r\n" );
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document.write( "The required equation is  y = \"%28-1%2F7%29x\" + 10\"1%2F7\".    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Not only this particular problem is solved incorrectly by @mananth.\r
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\n" ); document.write( "\n" ); document.write( "Many other similar problems were solved incorrectly by @mananth.\r
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\n" ); document.write( "\n" ); document.write( "        Incorrectly solved are ALL similar problem, where coefficients of linear equations \r
\n" ); document.write( "\n" ); document.write( "        are / (should be) rational numbers, which can not be presented as finite decimal fractions. \r
\n" ); document.write( "\n" ); document.write( "        Then @mananth, by applying his incorrect algorithm of rounding, makes everything wrong. \r
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\n" ); document.write( "\n" ); document.write( "                        Rounding in such situations IS NOT ALLOWED.\r
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