Find the slope of the line passing through
these points:
(4,3), (-1,6)

(-5,3)

Step-by-step explanation:

move five to the left to get 4 to -1 and 3 up to get 3 to 6

college

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.