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Find the coordinates of the midpoint ofL(2, -4), M(4, 6)

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Answer:


\displaystyle (3,1)

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

  • Midpoint Formula:
    \displaystyle ((x_1+x_2)/(2),(y_1+y_2)/(2))

Explanation:

Step 1: Define

Point L(2, -4)

Point M(4, 6)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute in points [MF]:
    \displaystyle ((2+4)/(2),(-4+6)/(2))
  2. [Fraction] Add:
    \displaystyle ((6)/(2),(2)/(2))
  3. [Fraction] Divide:
    \displaystyle (3,1)
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