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The equation (xy = c), where (c) is a constant, represents a hyperbola in the xy-plane. To find the slope, we can implicitly differentiate the equation with respect to (x). This gives us (y + x \frac{dy}{dx} = 0), leading to the slope (\frac{dy}{dx} = -\frac{y}{x}). The slope varies depending on the values of (x) and (y), indicating that it is not constant across the hyperbola.

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1mo ago

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