document.write( "Question 1103053: Find all points on the circle x^2 + y^2 = 100 where the slope is 3/4. \n" ); document.write( "

Algebra.Com's Answer #717742 by Fombitz(32388) $\"\"$ $\"About$

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Find the derivative first.
\n" ); document.write( " $\"2xdx%2B2ydy=0\"$
\n" ); document.write( " $\"ydy=-xdx\"$
\n" ); document.write( " $\"dy%2Fdx=-x%2Fy\"$
\n" ); document.write( " $\"-x%2Fy=3%2F4\"$
\n" ); document.write( " $\"-4x=3y\"$
\n" ); document.write( " $\"y=-%284%2F3%29x\"$
\n" ); document.write( "So then substituting,
\n" ); document.write( " $\"x%5E2%2B%2816%2F9%29x%5E2=100\"$
\n" ); document.write( " $\"%289%2F9%29x%5E2%2B%2816%2F9%29x%5E2=100\"$
\n" ); document.write( " $\"%2825%2F9%29x%5E2=100\"$
\n" ); document.write( " $\"x%5E2=100%289%2F25%29\"$
\n" ); document.write( " $\"x%5E2=36\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"x%5B1%5D=6\"$ and $\"x%5B2%5D=-6\"$
\n" ); document.write( "Using the formula above,
\n" ); document.write( " $\"y%5B1%5D=-%284%2F3%296=-8\"$
\n" ); document.write( "and
\n" ); document.write( " $\"y%5B2%5D=-%284%2F3%29%28-6%29=8\"$
\n" ); document.write( "So its,
\n" ); document.write( "(6,-8) and (-6,8)
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