Find the slope through each pair of two points. Report answers in simplest form. (-3,6) and (-5,9)
m =

m=-3/2

Step-by-step explanation:

To find the slope, we use the formula . With our given points, we can directly plug them into the formula.

Our slope is m=-3/2.

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.