Question

Find the distance between (4,6) and (-2, -2)

Answer 1

the distance will be 10!

Answer 2

`\displaystyle d = 10`

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 (4, 6)

Point (-2, -2)

Step 2: Find distance d

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

1. Substitute [DF]:
   `\displaystyle d = √((-2-4)^2+(-2-6)^2)`
2. Subtract:
   `\displaystyle d = √((-6)^2+(-8)^2)`
3. Exponents:
   `\displaystyle d = √(36+64)`
4. Add:
   `\displaystyle d = √(100)`
5. Evaluate:
   `\displaystyle d = 10`