document.write( "Question 1080222: Which of these is the equation for a line tangent to the circle x^2 + y^2 = 20 at point (2, -4)?\r
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\n" ); document.write( "\n" ); document.write( "y = ½x + √20
\n" ); document.write( "y = 2x – 5
\n" ); document.write( "y = 2x + √20
\n" ); document.write( "y = ½x – 5
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Algebra.Com's Answer #694408 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
To find the slope, calculate the derivative at the point.
\n" ); document.write( "Using implicit differentiation,
\n" ); document.write( "\"2xdx%2B2ydy=0\"
\n" ); document.write( "\"ydy=-xdx\"
\n" ); document.write( "\"dy%2Fdx=-x%2Fy\"
\n" ); document.write( "So at (2,-4),
\n" ); document.write( "\"m=dy%2Fdx=-2%2F-4=1%2F2\"
\n" ); document.write( "Using the point-slope form of a line,
\n" ); document.write( "\"y-%28-4%29=%281%2F2%29%28x-2%29\"
\n" ); document.write( "\"y%2B4=x%2F2-1\"
\n" ); document.write( "\"y=x%2F2-5\"
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