document.write( "Question 1142060: Find an equation for the line parallel to
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Algebra.Com's Answer #762706 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Any line parallel to the given line \r\n" );
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document.write( "    4y + 8x = 28    (1)\r\n" );
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document.write( "has an equation\r\n" );
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document.write( "    4y + 8x = c     (2)\r\n" );
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document.write( "with the same left side as the given line (1) has  and some constant term \"c\" in the right side.\r\n" );
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document.write( "The constant term value \"c\" in (2) is determined from the condition that the point (-6,-3) lies on this line (2).\r\n" );
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document.write( "For it, substitute the coordinates  x= -6, y= -3 into equation (2) and determine \"c\".\r\n" );
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document.write( "    4*(-3) + 8*(-6) = c\r\n" );
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document.write( "    -12     - 48    = c\r\n" );
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document.write( "    -60             = c.\r\n" );
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document.write( "Thus you just determined  c = -60, and your equation is\r\n" );
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document.write( "    4y + 8x = -60.\r\n" );
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document.write( "You can simplify it by dividing both sides by 4\r\n" );
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document.write( "    y + 2x = - 15,\r\n" );
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document.write( "or, to get the requested form,\r\n" );
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document.write( "    y = -2x - 15.\r\n" );
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document.write( "It is your final answer.\r\n" );
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