Question

Compute the distance between the two points. (5, –2) and (–8, –3)

Answer 1

This is the answer V~170=13.03840

Answer 2

`d = √(170)`

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:
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point (5, -2)

Point (-8, -3)

Step 2: Find distance d

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

1. Substitute [DF]:
   `d = √((-8-5)^2+(-3+2)^2)`
2. Subtract/Add:
   `d = √((-13)^2+(-1)^2)`
3. Exponents:
   `d = √(169+1)`
4. Add:
   `d = √(170)`