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Find the slope of the tangent line to the curve sqrt(5x+4y)+sqrt(3xy)=20 at point ( 8,6) I keep getting that the answer is -.35 or around

Find the slope of the tangent line to the curve sqrt(5x+4y)+sqrt(3xy)=20 at point ( 8,6) I keep getting that the answer is -.35 or around there but on webwork it keeps saying that is not the right answer...

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