Question

Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)

Answer 1

`d = 3√(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 (2, -1)

Point B (-4, 2)

Step 2: Find distance d

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

1. Substitute [DF]:
   `d = √((-4-2)^2+(2+1)^2)`
2. Subtract/Add:
   `d = √((-6)^2+(3)^2)`
3. Exponents:
   `d = √(36+9)`
4. Add:
   `d = √(45)`
5. Simplify:
   `d = 3√(5)`