Question

8. Find the distance between the ordered pairs (-1, -3) and (2, 1). If necessary, round to the nearest tenth.

Answer 1

`\displaystyle d = 5`

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 (-1, -3)

Point (2, 1)

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 = √((2--1)^2+(1--3)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((3)^2+(4)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(9+16)`
4. [√Radical] Add:
   `\displaystyle d = √(25)`
5. [√Radical] Evaluate:
   `\displaystyle d = 5`