What is the distance between the points M(–21, –7) and N(–5, –7)?

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 M(-21, -7)

Point N(-5, -7)

Step 2: Identify

M(-21, -7) → x₁ = -21, y₁ = -7

N(-5, -7) → x₂ = -5, 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) Add:                                                      [Distance] [√Radical] Evaluate exponent:                                                     [Distance] Evaluate radical: