Final answer:
The slope of the tangent line to the graph of f(x)=x cos x at the point (π, 0) is -1.
Step-by-step explanation:
The slope of a tangent line to a curve at a given point is equal to the slope of the curve at that point. In order to find the slope of the tangent line to the graph of f(x) = x cos x at the point (π, 0), we can differentiate the function to find its derivative. The derivative of f(x) = x cos x is given by f'(x) = cos x - x sin x. Plugging in π into the derivative, we get f'(π) = cos π - π sin π = -1 - 0 = -1. Therefore, the slope of the tangent line to the graph of f(x) = x cos x at the point (π, 0) is -1.