Question

What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?

Answer 1

`\displaystyle d = 34`

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

Algebra II

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

Explanation:

Step 1: Define

Point (-1, -13)

Point (-1, 21)

Step 2: Find distance d

1. Substitute in points [DF]:
   `\displaystyle d = √((-1+1)^2+(21+13)^2)`
2. (Parenthesis) Add:
   `\displaystyle d = √((0)^2+(34)^2)`
3. [√Radical] Simplify:
   `\displaystyle d = √((34)^2)`
4. [√Radical] Evaluate:
   `\displaystyle d = 34`