Question

The endpoints of QR are
Q(1, 6) and R(-7, 3). Find the coordinates of the midpoint M.

Answer 1

`\displaystyle (-3,(9)/(2))`

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

Endpoint Q(1, 6)

Endpoint R(-7, 3)

Step 2: Find Midpoint

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

1. Substitute in points [Midpoint Formula]:
   `\displaystyle ((1-7)/(2),(6+3)/(2))`
2. [Fractions] Subtract/Add:
   `\displaystyle ((-6)/(2),(9)/(2))`
3. [Fraction] Divide:
   `\displaystyle (-3,(9)/(2))`