Question

Given the points (-4,8) and (6,12) Detamine the midpoint of the lone segment connecting the points

Answer 1

`\displaystyle (1, 10)`

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

Identify

Point (-4, 8)

Point (6, 12)

Step 2: Find Midpoint

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

1. Substitute in points [Midpoint Formula]:
   `\displaystyle ((-4+6)/(2),(8+12)/(2))`
2. [Fractions] Add:
   `\displaystyle ((2)/(2),(20)/(2))`
3. [Fractions] Divide:
   `\displaystyle (1, 10)`