Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(-4, 2) and (2,-6)

Answer 1

`\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)`

Step-by-step explanation:

Step 1: Define

Point (-4, 2)

Point (2, -6)

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