Question

Find the midpoint of the segment with the following endpoints.
(2,9) and (8,1)

Answer 1

`\displaystyle (5,5)`

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 I

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

Explanation:

Step 1: Define

Point (2, 9)

Point (8, 1)

Step 2: Identify

(2, 9) → x₁ = 2, y₁ = 9

(8, 1) → x₂ = 8, y₂ = 1

Step 3: Find Midpoint

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

1. Substitute in points [Midpoint Formula]:
   `\displaystyle ((2+8)/(2),(9+1)/(2))`
2. [Fractions] Add:
   `\displaystyle ((10)/(2),(10)/(2))`
3. [Fractions] Divide:
   `\displaystyle (5,5)`