Question

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

Answer 1

`\displaystyle m = 0`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Coordinate Planes

• Coordinates (x, y)
• Slope Formula:
  `\displaystyle m = (y_2 - y_1)/(x_2 - x_1)`

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.

1. Substitute in points [Slope Formula]:
   `\displaystyle m = (-1 + 1)/(1 + 1)`
2. [Order of Operations] Simplify:
   `\displaystyle m = (0)/(2)`
3. Simplify:
   `\displaystyle m = 0`