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Find the distance between the ordered pairs. A (-1, 7) , B (5, 7)

User MrTristan
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1 Answer

10 votes

Answer:


\displaystyle d = 6

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:
    \displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)

Explanation:

Step 1: Define

Point A(-1, 7)

Point B(5, 7)

Step 2: Find distance d

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

  1. Substitute in points [DF]:
    \displaystyle d = √((5--1)^2+(7-7)^2)
  2. (Parenthesis) Simplify:
    \displaystyle d = √((5+1)^2+(7-7)^2)
  3. (Parenthesis) Add/Subtract:
    \displaystyle d = √((6)^2+(0)^2)
  4. [√Radical] Exponent:
    \displaystyle d = √((6)^2)
  5. [√Radical] Evaluate:
    \displaystyle d = 6
User DasOhmoff San
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