Question

Find the distance between points A and B on the coordinate plane.

Answer 1

`d = 5`

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 A (1, 2)

Point B (5, 5)

Step 2: Find distance d

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

1. Substitute [DF]:
   `d = √((5-1)^2+(5-2)^2)`
2. Subtract:
   `d = √((4)^2+(3)^2)`
3. Exponents:
   `d = √(16+9)`
4. Add:
   `d = √(25)`
5. Evaluate:
   `d = 5`