To find the slope of the curve represented by the function f(x) = x^2 - 8x, we need to take the derivative of the function with respect to x.
The derivative of x^2 is 2x (using the power rule of differentiation) and the derivative of -8x is -8 (using the constant multiple rule of differentiation).
Therefore, the derivative of f(x) = x^2 - 8x is:
f'(x) = 2x - 8
So, the correct option is (b) 2x - 8. This represents the slope of the curve at any given point on the graph of the function f(x) = x^2 - 8x.
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