Question

Find the distance between each pair of points (-1 4) (1 -1)​

Answer 1

`\displaystyle d = √(29)`

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 II

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

Explanation:

Step 1: Define

Point (-1, 4)

Point (1, -1)

Step 2: Find distance d

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

1. Substitute [DF]:
   `\displaystyle d = √((1+1)^2+(-1-4)^2)`
2. Add/Subtract:
   `\displaystyle d = √((2)^2+(-5)^2)`
3. Exponents:
   `\displaystyle d = √(4+25)`
4. Add:
   `\displaystyle d = √(29)`