document.write( "Question 418286: how do you write an equation of a line thru the given pts. in Ax+By=C form?
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Algebra.Com's Answer #292759 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
how do you write an equation of a line thru the given pts. in Ax+By=C form?
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document.write( "The other tutor did it correctly but by a slightly different method and\r\n" );
document.write( "also it needs to be placed in the form Ax + By = C, not the form he left\r\n" );
document.write( "it in.\r\n" );
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document.write( "Use the slope formula: , , , \r\n" );
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document.write( "Use the point-slope formula:\r\n" );
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document.write( "y - 1 = 1(x-4)\r\n" );
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document.write( "y - 1 = x - 4\r\n" );
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document.write( "y - x = -3\r\n" );
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document.write( "Swap the terms on the left to get x first because Ax+By=C has x first\r\n" );
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document.write( "-x + y = -3\r\n" );
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document.write( "Make the coefficient of x positive by multiplying every\r\n" );
document.write( "term by -1 which changes the sign of ever term on both sides:\r\n" );
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document.write( "x - y = 3\r\n" );
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document.write( "That's the answer in Ax + By = C form \r\n" );
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document.write( "where A=1,  B = -1, and C = 3\r\n" );
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document.write( "You could write it this way\r\n" );
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document.write( "1x + (-1)y = 3\r\n" );
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document.write( "to show both the A and the B, but probably you just want\r\n" );
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document.write( "x - y = 3\r\n" );
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document.write( "Edwin

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