Question

Find the coordinates of the midpoint of the line segment that joins the two given points.

(x, y) = (−6, −6) and (x, y) = (5, 4)
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Answer 1

Midpoint:
`\displaystyle ((-1)/(2),-1)`

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 (-6, -6)

Endpoint (5, 4)

Step 2: Find Midpoint

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

1. Substitute in points [Midpoint Formula]:
   `\displaystyle ((-6+5)/(2),(-6+4)/(2))`
2. [Fraction - Numerator] Add:
   `\displaystyle ((-1)/(2),(-2)/(2))`
3. [Fraction] Divide:
   `\displaystyle ((-1)/(2),-1)`