document.write( "Question 1172045: Write the standard form of the equation of the line parallel to the graph of 9x+3y=6 that passes through (0,3). \n" ); document.write( "

Algebra.Com's Answer #796959 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "Any straight line in a coordinate plane, parallel to the given line has a standard form\r\n" );
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document.write( "    9x + 3y = d,      (*)\r\n" );
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document.write( "where \"c\" is a constant.\r\n" );
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document.write( "To find the parallel line, which goes through the point (0,3), substitute its coordinates x= 0 and y= 3\r\n" );
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document.write( "into equation (*).\r\n" );
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document.write( "You will get then\r\n" );
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document.write( "    c = 9*0 + 3*3 = 9.\r\n" );
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document.write( "So, a standard form equation under the problem's question is\r\n" );
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document.write( "    9x + 3y = 9,\r\n" );
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document.write( "or any other equivalent equation of this form, for example, this one\r\n" );
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document.write( "    3x + y = 3.      ANSWER\r\n" );
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