Question

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What is the distance between the points? Point A is located at the point Point B is located at the point The distance between the points is y units.​

Answer 1

`\displaystyle Point \ A(-2, 5)\\Point \ B(5, 5)\\d = 7 \ units`

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 Cartesian coordinate plane
• Coordinates

Algebra II

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

Explanation:

Step 1: Define

Find points from graph.

Point A(-2, 5)

Point B(5, 5)

Step 2: Find distance d

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

1. Substitute in points [DF]:
   `\displaystyle d = √((5--2)^2+(5-5)^2)`
2. (Parenthesis) Simplify:
   `\displaystyle d = √((5+2)^2+(5-5)^2)`
3. (Parenthesis) Add/Subtract:
   `\displaystyle d = √((7)^2+(0)^2)`
4. [√Radical] Exponent:
   `\displaystyle d = √((7)^2)`
5. [√Radical] Evaluate:
   `\displaystyle d = 7`