Find the distance between the two points (-5, -2) and T(-3, 4).

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 (-5, -2) → x₁ = -5, y₁ = -2

Point (-3, 4) → x₂ = -3, y₂ = 4

Step 2: Find distance d

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

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