Question

Use the distance formula to find the distance between the points
(-4,-4) and (4, 4).

Answer 1

`\displaystyle d = 8√(2)`

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

• Coordinates (x, y)

Algebra II

• Distance Formula:
  `\displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point (-4, -4)

Point (4, 4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

1. Substitute in points [Distance Formula]:
   `\displaystyle d = √((4+4)^2+(4+4)^2)`
2. [Distance] [√Radical] (Parenthesis) Add:
   `\displaystyle d = √((8)^2+(8)^2)`
3. [Distance] [√Radical] Evaluate exponents:
   `\displaystyle d = √(64+64)`
4. [Distance] [√Radical] Add:
   `\displaystyle d = √(128)`
5. [Distance] [√Radical] Simplify:
   `\displaystyle d = 8√(2)`