document.write( "Question 423677: what is the equation of a line that passes through (-5, 1) and is parallel to y = x + 4 ?\r
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Algebra.Com's Answer #853210 by ikleyn(53419) $\"\"$ $\"About$

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\n" ); document.write( "what is $\"highlight%28cross%28the%29%29\"$ an equation of a line that passes through (-5, 1) and is parallel to y = x + 4 ?
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\n" ); document.write( "\n" ); document.write( "        The solution in the post by @matanth is FATALLY WRONG and conceptually INCORRECT.\r
\n" ); document.write( "\n" ); document.write( "        It contains arithmetic errors and does not satisfy the imposed conditions.
\n" ); document.write( "        His line is not parallel to the given line. \r
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\n" ); document.write( "\n" ); document.write( "        I came to provide a correct solution.\r
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document.write( "Any line parallel to y = x + 4  has a form  y = x + c  with some constant 'c'.\r\n" );
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document.write( "The only thing is to determine the value of 'c'.\r\n" );
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document.write( "We use the given point (-5,1}: value of 'c' is determined by this equation y = x + c\r\n" );
document.write( "after substituting coordinates of the point\r\n" );
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document.write( "    1 = -5 + c,\r\n" );
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document.write( "    c = 1 - (-5) = 1 + 5 = 6.\r\n" );
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document.write( "Answer.  Equation of the line parallel to  y = x+4  and passing through (-5,1)  is y = x + 6. \r\n" );
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