Using the slope formula, find the slope of the line through the given points (4,3) (2,7)

Slope is -2.

Hope this helps!

Step-by-step explanation:

To get from 3 to 7 is 4 and 4 to 2 is a -2. 4 divided by 2 is -2. A positive divided by a negative is a negative.

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.