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Find the midpoint of AB given A (-2,5) and B (-4,7)

1 Answer

5 votes

Answer:


\displaystyle (-3, 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)
  • Midpoint Formula:
    \displaystyle ((x_1 + x_1)/(2), (y_1 + y_2)/(2))

Explanation:

Step 1: Define

Point A(-2, 5)

Point B(-4, 7)

Step 2: Find Midpoint

  1. Substitute in points [Midpoint Formula]:
    \displaystyle ((-2 + -4)/(2), (5 + 7)/(2))
  2. Add:
    \displaystyle ((-6)/(2), (12)/(2))
  3. Divide:
    \displaystyle (-3, 6)
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User AB Vyas
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