Question

What is the distance between the points (5, 1) and (-3,-5)?

O2 10
025
O 10
045

Answer 1

10

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 (5, 1)

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 = √((-3-5)^2+(-5-1)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((-8)^2+(-6)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(64+36)`
4. [√Radical] Add:
   `\displaystyle d = √(100)`
5. [√Radical] Evaluate:
   `d = 10`