Examine the following table of points, which are all on a certain line. x y−2 40 21 13 −1what is the slope of this line? enter your answer as a number, like this: 42, or, if the slope is undefined, enter the lowercase letter "u".

d. is the correct answer

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.