What is the slope of this graph

-7/8

Step-by-step explanation:   If you use RISE/RUN, then you will see that they RISE is 7 and the RUN is 8 so therefroe,you would get 7/8. The graph is pointing down so, it is negative. Overall, your answer should be -7/8.      

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.