document.write( "Question 431096: Find an equation of the secant line containing (1, f(1)) and (2,f(2)).
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Algebra.Com's Answer #299285 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Find an equation of the secant line containing (1, f(1)) and (2,f(2)).
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document.write( "Let's calculate f(1)\r\n" );
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document.write( "f(x) = x³ - x\r\n" );
document.write( "f(0) = 1³ - 1\r\n" );
document.write( "f(0) = 0\r\n" );
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document.write( "So the point (1, f(1)) is the point (1,0)\r\n" );
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document.write( "Let's calculate f(2)\r\n" );
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document.write( "f(x) = x³ - x\r\n" );
document.write( "f(2) = 2³ - 2\r\n" );
document.write( "f(2) = 8 - 2\r\n" );
document.write( "f(2) = 6\r\n" );
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document.write( "So the point (2, f(2)) is the point (2,6)\r\n" );
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document.write( "We plot those points:\r\n" );
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document.write( "Next we draw the graph (in red) and the secant line (in green):\r\n" );
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document.write( "\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%286-0%29%2F%282-1%29=6%2F1=6\"\r\n" );
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document.write( "\"y+-+y%5B1%5D+=+m%28x-x%5B1%5D%29\"\r\n" );
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document.write( "\"y+-+0+=+6%28x-1%29\"\r\n" );
document.write( "\"y+=+6x+-+6\"\r\n" );
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document.write( "That's the equation of the green secant line.\r\n" );
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document.write( "Edwin
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