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

Answer:

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: $\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step 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]:                                                       $\displaystyle (\frac{1+7}{2},\frac{3+7}{2})$
2. [Midpoint] Add:                                                                                               $\displaystyle (\frac{8}{2},\frac{10}{2})$
3. [Midpoint] Divide:                                                                                            $\displaystyle (4,5)$