Question

The end points of line segment PQ are P(1, 3), and Q(7, 7). What is the midpoint of line segement PQ?

Answer 1

D) (4, 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 P(1, 3)

Point Q(7, 7)

Step 2: Identify

P(1, 3) → x₁ = 1, y₁ = 3

Q(7, 7) → x₂ = 7, y₂ = 7

Step 3: Find Midpoint

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

1. Substitute in points [Midpoint Formula]:
   `\displaystyle ((1+7)/(2),(3+7)/(2))`
2. [Midpoint] Add:
   `\displaystyle ((8)/(2),(10)/(2))`
3. [Midpoint] Divide:
   `\displaystyle (4,5)`