Final answer:
The equation for the slope of the graph of y=6/x³ - 7/6 at any point is given by the derivative, which is -18/x⁴.
Step-by-step explanation:
The question asks to find an equation for the slope of the graph of y=6/x³ - 7/6 at any point. To find the slope of a curve at a particular point, we need to take the derivative of the function with respect to x.
The derivative of 6/x³ is -18/x⁴, and the derivative of a constant (such as -7/6) is zero. Thus, the slope of the graph at any point is given by the derivative -18/x⁴.