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Find the distance between the line segment with end points (-3,5) and (1,5)

User Kenor
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1 Answer

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Answer:


\displaystyle d = 4

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

Identify

Point (-3, 5)

Point (1, 5)

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]:
    \displaystyle d = √((1- -3)^2+(5- 5)^2)
  2. [√Radical] (Parenthesis) Subtract:
    \displaystyle d = √(4^2+0^2)
  3. [√Radical] Simplify:
    \displaystyle d = √(4^2)
  4. [√Radical] Evaluate:
    \displaystyle d = 4
User Fastobject
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