Find the distance between these points in two ways: (-2, 5) and (4, 13). a. Use the point ( - 2, 5) as (x1, y1) and the point (4, 13) as (x2, y2) in the distance
formula.

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, 5)

Point (4, 13)

Step 2: Identify

x₁ = -2, y₁ = 5

x₂ = 4, y₂ = 13

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/Subtract:                                        [Distance] [√Radical] Evaluate exponents:                                                    [Distance] [√Radical] Add:                                                                              [Distance] [√Radical] Evaluate: