Find the slope of the line.

m=1m=1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}m=

x

2

−x

1

y

2

−y

1

Step-by-step explanation:

Step 1: Define

Point (-2, -2)

Point (2, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]: m=\frac{2+2}{2+2}m=

2+2

2+2

Add: m=\frac{4}{4}m=

4

4

Divide: m=1m=1

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.