Question

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

Answer 1

Answer:

$\displaystyle (5,5)$

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

Step-by-step 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]:                                                         $\displaystyle (\frac{2+8}{2},\frac{9+1}{2})$
2. [Fractions] Add:                                                                                                  $\displaystyle (\frac{10}{2},\frac{10}{2})$
3. [Fractions] Divide:                                                                                              $\displaystyle (5,5)$