I need help with this problem: Write an equation that will give the slope of f(x) at every point: f(x)= -4x^2-17x+5.6.

It seems basic but I am having trouble understanding what the problem is asking for.

that would be dy/dx = -8x - 17

I am somewhat bothered by your question.
If you are studying Calculus, then you should have known the answer.

If you are not taking Calculus, then the question does not belong.

The type of problem you asked is fundamental to the study of Calculus.