The Mean Value Theorem Illustrated

Questions: 1) What does the Mean Value Theorem State? 2) Does the graph pictured satisfy the hypotheses? Click the box to show the tangent line and the slope of the tangent line: 3) What does the MVT mean when it says: "there is a number c in [a , b] such that f'(c) = [f(b)-b(a)]/(b-a)? 4) How does the picture illustrate this? (How does the slope of the tangent and secant lines compare?)