document.write( "Question 1003954: Find the equation of the tangent line to the curve $\"%28x-y%29%5E2\"$ $\"%22%22=%22%22\"$ $\"2x%2B1\"$
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Algebra.Com's Answer #620550 by Edwin McCravy(20054) $\"\"$ $\"About$

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Find the equation of the tangent line to the curve
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document.write( "We take the derivative implicitly:\r\n" );
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document.write( "Substitute (x,y) = (4,1)\r\n" );
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document.write( "The derivative at a point is the slope of the\r\n" );
document.write( "line tangent to the curve at the point, therefore\r\n" );
document.write( "the slope of the tangent line is \r\n" );
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document.write( "We use the point-slope formula for the equation\r\n" );
document.write( "of the tangent line:\r\n" );
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document.write( "where (x₁,y₁) = (4,1)\r\n" );
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document.write( "[Do not substitute for x and y, but leave them \r\n" );
document.write( "as variables]\r\n" );
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document.write( ", graphed in green below:\r\n" );
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document.write( "Edwin

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