Question

What is the distance between the points (−7, 1) and (−7, −5) on the coordinate plane?

Answer 1

`\displaystyle d = 6`

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

Coordinate Planes

• Coordinates (x, y)

Algebra II

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

Explanation:

Step 1: Define

Identify.

Point (-7, 1)

Point (-7, -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 = √((-7 - -7)^2 + (-5 - 1)^2)`
2. [Order of Operations] Evaluate:
   `\displaystyle d = 6`