document.write( "Question 428573: What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0? \n" ); document.write( "

Algebra.Com's Answer #853237 by ikleyn(53419) $\"\"$ $\"About$

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\n" ); document.write( "What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line
\n" ); document.write( "whose equation is 4x + y - 2 = 0?
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\n" ); document.write( "\n" ); document.write( " It can be solved in much more efficient way than @mananth does it in his post.\r
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document.write( "The given line equation is 4x + y - 2 = 0.\r\n" );
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document.write( "It is the same as\r\n" );
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document.write( "    4x + y = 2.    (1)\r\n" );
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document.write( "Any parallel line has the form\r\n" );
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document.write( "    4x + y = c      (2)\r\n" );
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document.write( "with the same form '4x + y' in the left side and some constant 'c' in the right side.\r\n" );
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document.write( "To find 'c', we substitute coordinates of the given point (4,-3) into equation (2).\r\n" );
document.write( "We get \r\n" );
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document.write( "    4*4 + (-3) = 16 - 3 = 13 = c.\r\n" );
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document.write( "Thus the sough equation is\r\n" );
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document.write( "    4x + y = 13.\r\n" );
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document.write( "It is the \"standard form\" line equation.\r\n" );
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document.write( "ANSWER.  The \"standard form\" line equation is  4x + y = 13.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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Two post-solution notices

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\n" ); document.write( "\n" ); document.write( " (1) Doing this way, you should not worry about the slope.\r
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\n" ); document.write( "\n" ); document.write( " (2) The final equation in the @mananth post is NOT a standard form.\r
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