document.write( "Question 1080804: Find the two equations of the lines parallel to the line x+2y-5 = 0 and passing at a distance 2 from the origin. \n" ); document.write( "

Algebra.Com's Answer #694914 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The general equation of a straight line parallel to the given line is\r\n" );
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document.write( "x + 2y + c = 0,\r\n" );
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document.write( "where \"c\" is some constant.\r\n" );
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document.write( "If we want our straight line be parallel to the given line and pass at the distance of 2 from the origin (x,y) = (0,0), \r\n" );
document.write( "we must find \"c\" from this equation\r\n" );
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document.write( " = 2    (1)\r\n" );
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document.write( "(see the lesson The distance from a point to a straight line in a coordinate plane in this site).\r\n" );
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document.write( "From equation (1), |c| = ,  so c can have two values: c =   or  c = .\r\n" );
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document.write( "Thus, the two equations the problem asks for are\r\n" );
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document.write( " = 0   (2)\r\n" );
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document.write( "and\r\n" );
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document.write( " = 0   (3).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( " ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
\n" ); document.write( "\"The distance from a point to a straight line in a coordinate plane\".\r
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