document.write( "Question 1179373: Use a determinant to find an equation of the line passing through the points
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Algebra.Com's Answer #808913 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "                It can be done in different ways.\r
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\n" ); document.write( "\n" ); document.write( "                I will show and explain one of them to you, the most simplest,\r
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document.write( "You have two vectors with components\r\n" );
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document.write( "    (4-(-2), 1 - 5) = (6,-4)    (starts at (-2,5),  ends at (4,1) )\r\n" );
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document.write( "and\r\n" );
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document.write( "    (x-4,y-1)                   (starts at (4,1);  ends at (x,y) )\r\n" );
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document.write( "        You want these two vectors be parallel (or antiparallel, does not matter).\r\n" );
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document.write( "It means that the determinant, composed of the components of these vectors is equal to zero\r\n" );
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document.write( "    det  = 0.                ANSWER\r\n" );
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document.write( "It is your equation, same as\r\n" );
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document.write( "    -4*(x-4) - 6*(y-1) = 0.     (*)      ANSWER\r\n" );
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document.write( "You can simplify the resulting equation (*) any way as you want.\r\n" );
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