Question

25/35 Marks

Find the midpoint of A and B where A has coordinates (8, 2)
and B has coordinates (3,8).

Answer 1

`\displaystyle ((11)/(2),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 A(8, 2) → x₁ = 8, y₁ = 2

Point B(3, 8) → x₂ = 3, y₂ = 8

Step 2: Find Midpoint

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

1. Substitute in points [Midpoint Formula]:
   `\displaystyle ((8+3)/(2),(2+8)/(2))`
2. [Midpoint] [Fraction] Add:
   `\displaystyle ((11)/(2),(10)/(2))`
3. [Midpoint] Divide:
   `\displaystyle ((11)/(2),5)`