Question

Point A(3,8)

and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?

Answer 1

8.1

Explanation:

the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)

Answer 2

`\displaystyle d = √(65)`

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)

Algebra II

• Distance Formula:
  `\displaystyle d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Explanation:

Step 1: Define

Identify

Point A(3, 8)

Point B(-1, 1)

Step 2: Find distance d

1. Substitute in points [Distance Formula]:
   `\displaystyle d = √((-1 - 3)^2 + (1 - 8)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((-4)^2 + (-7)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(16 + 49)`
4. [√Radical] Add:
   `\displaystyle d = √(65)`