document.write( "Question 194785: i have to write an equation of the line that is tangent to the circle at that point:\r
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Algebra.Com's Answer #146116 by Edwin McCravy(20056)\"\" \"About 
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i have to write an equation of the line that is tangent to the circle at that point:\r
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document.write( "Find the derivative by the method of implicit functions\r\n" );
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document.write( "\"x%5E2%2By%5E2=50\"\r\n" );
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document.write( "\"2x%2B2y%28dy%2Fdx%29=0\"\r\n" );
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document.write( "\"2y%28dy%2Fdx%29=-2x\"\r\n" );
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document.write( "\"dy%2Fdx=%28-2x%29%2F%282y%29\"\r\n" );
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document.write( "\"dy%2Fdx=-x%2Fy\"\r\n" );
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document.write( "Substitute (x,y)=(-7,1)\r\n" );
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document.write( "\"dy%2Fdx=-%28-7%29%2F1\"\r\n" );
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document.write( "\"dy%2Fdx=7\"\r\n" );
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document.write( "Therefore the slope, m, of the tangent line\r\n" );
document.write( "at (-7,1) is 7.  So m=7\r\n" );
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document.write( "Now we use the point-slope form of the\r\n" );
document.write( "equation of a line:\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-1=7%28x-%28-7%29%29\"\r\n" );
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document.write( "\"y-1=7%28x%2B7%29\"\r\n" );
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document.write( "\"y-1=7x%2B49\"\r\n" );
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document.write( "\"y+=+7x%2B50\"\r\n" );
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document.write( "To check it we draw the equation of the circle\r\n" );
document.write( "and the line:\r\n" );
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document.write( "Edwin
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