Question

Find the midpoint of the segment with the following endpoints.
(4,5) and (9,2)

Answer 1

`\displaystyle ((13)/(2),(7)/(2))`

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

Explanation:

Step 1: Define

Point (4, 5) → x₁ = 4, y₁ = 5

Point (9, 2) → x₂ = 9, y₂ = 2

Step 2: Find Midpoint

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

1. Substitute in points [Midpoint Formula]:
   `\displaystyle ((4+9)/(2),(5+2)/(2))`
2. [Fractions - Numerator] Add:
   `\displaystyle ((13)/(2),(7)/(2))`