Question

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

Answer 1

(1,-1)

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

Answer 2

`\displaystyle (1,-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

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

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]:
   `\displaystyle ((4-2)/(2),(-8+6)/(2))`
2. [Fraction] Subtract/Add:
   `\displaystyle ((2)/(2),(-2)/(2))`
3. [Fraction] Divide:
   `\displaystyle (1,-1)`