This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.

3 0

3 years ago

Determine the rate of change between the points (-1,-1) and (1,-1).

AVprozaik [17]

Answer:

$\displaystyle m = 0$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step explanation:

*Note:

Rate of change is slope.

Step 1: Define

Identify.

Point (-1, -1)

Point (1, -1)

Step 2: Find slope m

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

Substitute in points [Slope Formula]: $\displaystyle m = \frac{-1 + 1}{1 + 1}$
[Order of Operations] Simplify: $\displaystyle m = \frac{0}{2}$
Simplify: $\displaystyle m = 0$

4 0

2 years ago