Question

Name each of the points on the coordinate plane and find the distance between C and D.

Answer 1

`\displaystyle d = 7`

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 II

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

Explanation:

Step 1: Define

Point C(4, -5)

Point D(-3, -5)

Step 2: Find distance d

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

1. Substitute [DF]:
   `\displaystyle d = √((-3-4)^2+(-5+5)^2)`
2. Subtract/Add:
   `\displaystyle d = √((-7)^2+(0)^2)`
3. Exponents:
   `\displaystyle d = √(49+0)`
4. Add:
   `\displaystyle d = √(49)`
5. Evaluate:
   `\displaystyle d = 7`