document.write( "Question 1063838: 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?\r
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\n" ); document.write( "B.) 4x + y = 13
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Algebra.Com's Answer #678928 by ikleyn(52797) $\"\"$ $\"About$

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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 whose equation is 4x + y - 2 = 0?\r
\n" ); document.write( "\n" ); document.write( "A.) 4x - y = 13
\n" ); document.write( "B.) 4x + y = 13
\n" ); document.write( "C.) 4x + y = -13
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document.write( "First of all, the line parallel to the given line 4x + y - 2 = 0 has the form \r\n" );
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document.write( "4x + y -c = 0,      (1)\r\n" );
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document.write( "where \"c\" is some constant value.\r\n" );
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document.write( "To find this constant value \"c\", use the condition that the line passes through the point (4,-3) and substitute x= 4, y= -3 into equation (1).\r\n" );
document.write( "You will get\r\n" );
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document.write( "4*4 + (-3) -c = 0,   or   16-3 = c,   or  c = 13.\r\n" );
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document.write( "Thus the equation of the line under the question is \r\n" );
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document.write( "4x + y - 13 = 0,  or, which is the same,   4x + y = 13.\r\n" );
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document.write( "Answer. Option C).\r\n" );
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