Question

Find the distance between the pair of points that given on the graph?

Answer 1

`\displaystyle d = √(74)`

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

• Reading a coordinate plane
• Coordinates (x, y)

Algebra Ii

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

Explanation:

Step 1: Define

Find endpoints from graph

Point (-3, -3)

Point (4, 2)

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 = √((4- -3)^2+(2- -3)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √(7^2+5^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(49+25)`
4. [√Radical] Add:
   `\displaystyle d = √(74)`