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Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)

1 Answer

2

Answer:

d = 3\sqrt{5}

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 II

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

Step-by-step explanation:

Step 1: Define

Point A (2, -1)

Point B (-4, 2)

Step 2: Find distance d

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

  1. Substitute [DF]:                    d = \sqrt{(-4-2)^2+(2+1)^2}
  2. Subtract/Add:                       d = \sqrt{(-6)^2+(3)^2}
  3. Exponents:                           d = \sqrt{36+9}
  4. Add:                                      d = \sqrt{45}
  5. Simplify:                               d = 3\sqrt{5}
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answered 1 year ago