Question

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

Answer 1

Answer:

$\displaystyle (1, 10)$

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

Step-by-step 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]:                                                         $\displaystyle (\frac{-4+6}{2},\frac{8+12}{2})$
2. [Fractions] Add:                                                                                                 $\displaystyle (\frac{2}{2},\frac{20}{2})$
3. [Fractions] Divide:                                                                                             $\displaystyle (1, 10)$