Find AB when A(-4, 1) and B(3, -1)

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1. Answer:

   [tex]\displaystyle d = \sqrt{53}[/tex]

   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 I

   • Coordinates (x, y)

   Algebra II

   • Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

   Step-by-step explanation:

   Step 1: Define

   Point A(-4, 1)

   Point B(3, -1)

   Step 2: Find distance d

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

   1. Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(3+4)^2+(-1-1)^2}[/tex]
   2. [√Radical] (Parenthesis) Add/Subtract:                                                         [tex]\displaystyle d = \sqrt{(7)^2+(-2)^2}[/tex]
   3. [√Radical] Evaluate exponents:                                                                     [tex]\displaystyle d = \sqrt{49+4}[/tex]
   4. [√Radical] Add:                                                                                                [tex]\displaystyle d = \sqrt{53}[/tex]

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