Final answer:
The slope of the function f(x) = -2x + 4 at any point, including the point (5,-6), is -2, as identified by the coefficient of x.
Step-by-step explanation:
To find the slope of the function f(x) = -2x + 4 at the point (5,-6), we examine the equation of the line. Since it is in the form y = mx + b, where m is the slope, we can see that the slope is -2. This is because the coefficient of x in the equation is the slope of the line, and it is constant throughout the entire line. Therefore, at any given point on the line, including the point (5, -6), the slope is -2.