Calculate the slope of a line that passes through the points (9, 3) and (19, -17). 10 2 -2 7/5

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m =

with (x₁, y₁ ) = (9, 3) and (x₂, y₂ ) = (19, - 17)

m = = = - 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.