Question

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

Answer 1

Answer:

$d = 3\sqrt{5}$

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: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step 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]:                    $d = \sqrt{(-4-2)^2+(2+1)^2}$
2. Subtract/Add:                       $d = \sqrt{(-6)^2+(3)^2}$
3. Exponents:                           $d = \sqrt{36+9}$
4. Add:                                      $d = \sqrt{45}$
5. Simplify:                               $d = 3\sqrt{5}$