document.write( "Question 358479: Please help me I'm stuck :(\r
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Algebra.Com's Answer #255980 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Which is the equation of a line parallel to a line containing the points (-3, 1) and (6, 4) and passing throught the point (5, 2)?
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document.write( "First we'll draw the points that the first line goes through:\r\n" );
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document.write( "And then we'll draw that line.\r\n" );
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document.write( "We'll find the slope of that line using\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\"%22%22=%22%22\"\"%28%284%29-%281%29%29%2F%28%286%29-%28-3%29%29\"\"%22%22=%22%22\"\"3%2F%286%2B3%29\"\"%22%22=%22%22\"\"3%2F9\"\"%22%22=%22%22\"\"1%2F3\"\r\n" );
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document.write( "The line parallel to that one must slope the same way, that is,\r\n" );
document.write( "it must have the same slope.\r\n" );
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document.write( " Now we'll use the point-slope formula with (x1,y1) = (5,2)\r\n" );
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document.write( "\"y-y%5B1%5D\"\"%22%22=%22%22\"\"m%28x-x%5B1%5D%29\"\r\n" );
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document.write( "\"y-2\"\"%22%22=%22%22\"\"expr%281%2F3%29%28x-5%29\"\r\n" );
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document.write( "Multiply both sides by 3:\r\n" );
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document.write( "\"3%28y-2%29\"\"%22%22=%22%22\"\"3%2Aexpr%281%2F3%29%28x-5%29\"\r\n" );
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document.write( "\"3y-6\"\"%22%22=%22%22\"\"cross%283%29%2Aexpr%281%2Fcross%283%29%29%28x-5%29\"\r\n" );
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document.write( "\"3y-6\"\"%22%22=%22%22\"\"x-5\"\r\n" );
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document.write( "\"-x%2B3y\"\"%22%22=%22%22\"\"-5\"\r\n" );
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document.write( "\"x-3y\"\"%22%22=%22%22\"\"5\"\r\n" );
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document.write( "To check, we'll plot the point (5,2) \r\n" );
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document.write( "Then we'll get a couple more points\r\n" );
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document.write( " x | y\r\n" );
document.write( " 2 | 1\r\n" );
document.write( "-1 | 0\r\n" );
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document.write( "Draw a line through those:\r\n" );
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document.write( "So the green line is parallel to the black line and it goes through (5,2).\r\n" );
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document.write( "Edwin
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