Question

Find the distance between the points (-3, 4) and (-3, -5).

Answer 1

`\displaystyle d = 9`

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

Point (-3, 4)

Point (-3, -5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

1. Substitute in points [Distance Formula]:
   `\displaystyle d = √((-3+3)^2+(-5 - 4)^2)`
2. [Distance] [√Radical] (Parenthesis) Add/Subtract:
   `\displaystyle d = √((0)^2+(-9)^2)`
3. [Distance] [√Radical] Evaluate exponents:
   `\displaystyle d = √(81)`
4. [Distance] [√Radical] Evaluate:
   `\displaystyle d = 9`