Question

Find the distance

d(P1.P2) between the given points P1 and P2.
P1 = (0,0)
P2 = (5,6)

Answer 1

`\displaystyle d = √(61)`

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 P1(0, 0)

Point P2(5, 6)

Step 2: Identify

x₁ = 0, y₁ = 0

x₂ = 5, y₂ = 6

Step 3: 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 = √((5-0)^2+(6-0)^2)`
2. [Distance] [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((5)^2+(6)^2)`
3. [Distance] [√Radical] Evaluate exponents:
   `\displaystyle d = √(25+36)`
4. [Distance] [√Radical] Add:
   `\displaystyle d = √(61)`