document.write( "Question 454369: 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\r
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Algebra.Com's Answer #853406 by ikleyn(53547) $\"\"$ $\"About$

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\n" ); document.write( "Write an equation of the line containing the given point and parallel to the given line.
\n" ); document.write( "Express your answer in the form y=mx+b
\n" ); document.write( "(-6,7); 2x=9y+8
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\n" ); document.write( "\n" ); document.write( "        The solution and the answer in the post by @mananth both are incorrect.\r
\n" ); document.write( "\n" ); document.write( "        They are incorrect, since @mananth permanently rounds rational fractions to decimal fractions\r
\n" ); document.write( "\n" ); document.write( "        even when it is not allowed and ruins the precise form of equations.\r
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\n" ); document.write( "\n" ); document.write( "        So, I came to make the job in a right way as it SHOULD be done.\r
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document.write( "Any line parallel to  2x = 9y + 8  has the form\r\n" );
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document.write( "    2x = 9y + c,    (1)\r\n" );
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document.write( "where 'c' is a real constant.  To find 'c', we simply insert coordinates (-6,7) into equation (1)\r\n" );
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document.write( "    2*(-6) = 9*7 + c,\r\n" );
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document.write( "    -12 - 63 = c,\r\n" );
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document.write( "    c = -75.\r\n" );
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document.write( "Thus equation (1) takes the form\r\n" );
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document.write( "    2x = 9y - 75.    (2)\r\n" );
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document.write( "To get the form  y = mx + b, we express 'y' from equation (2)\r\n" );
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document.write( "    y =  + ,\r\n" );
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document.write( "or,  which is the same\r\n" );
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document.write( "    y =  + 8.    (3)\r\n" );
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document.write( "So, the slope of the sough line is  m =   and its equation is  y =  + 8.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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