Question

Point A is at (3,-8) and point B is at (5,-2.5). What is the midpoint of line segment AB?

Answer 1

`\displaystyle (4,-5.25)`

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 A(3, -8)

Point B(5, -2.5)

Step 2: Find Midpoint

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

1. Substitute in points [Midpoint Formula]:
   `\displaystyle ((3+5)/(2),(-8-2.5)/(2))`
2. [Midpoint] Add/Subtract:
   `\displaystyle ((8)/(2),(-10.5)/(2))`
3. [Midpoint] Divide:
   `\displaystyle (4,-5.25)`