Question

Find the distance between the ordered pairs. A (-1, 7) , B (5, 7)

Answer 1

`\displaystyle d = 6`

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 A(-1, 7)

Point B(5, 7)

Step 2: Find distance d

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

1. Substitute in points [DF]:
   `\displaystyle d = √((5--1)^2+(7-7)^2)`
2. (Parenthesis) Simplify:
   `\displaystyle d = √((5+1)^2+(7-7)^2)`
3. (Parenthesis) Add/Subtract:
   `\displaystyle d = √((6)^2+(0)^2)`
4. [√Radical] Exponent:
   `\displaystyle d = √((6)^2)`
5. [√Radical] Evaluate:
   `\displaystyle d = 6`