What is the distance between (2, 3) and (-2, 7)? Round to the nearest tenth, if necessary.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula:

Step-by-step explanation:

Step 1: Define

Point (2, 3)

Point (-2, 7)

Step 2: Identify

(2, 3) → x₁ = 2, y₁ = 3

(-2, 7) → x₂ = -2, y₂ = 7

Step 3: Find distance d

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

Substitute in points [Distance Formula]:                                                       [Distance] [√Radical] (Parenthesis) Subtract:                                               [Distance] [√Radical] Evaluate exponents:                                                   [Distance] [√Radical] Add:                                                                             [Distance] [√Radical] Simplify:                                                                       [Distance] Evaluate:                                                                                        [Distance] Round: