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Line segment GH has endpoints at G(4,-8) and (-2,6). What is the midpoint of the line segment GH

Sagot :

ameliaortiz1111

Answer:

(1,-1)

Step-by-step explanation:

Find the middle between the two points:

4 to -2=6, so the middle would be 3

4-3=1

-8 to 6=14, so the middle would be 7

-8+7=-1

Space

Answer:

[tex]\displaystyle (1,-1)[/tex]

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: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point G(4, -8)

Point H(-2, 6)

Step 2: Find Midpoint

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

  1. Substitute in points [Midpoint Formula]:                                                       [tex]\displaystyle (\frac{4-2}{2},\frac{-8+6}{2})[/tex]
  2. [Fraction] Subtract/Add:                                                                                 [tex]\displaystyle (\frac{2}{2},\frac{-2}{2})[/tex]
  3. [Fraction] Divide:                                                                                             [tex]\displaystyle (1,-1)[/tex]
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