Question

Plot points (3, –8) and (3, 4) on the coordinate plane.

What would be the length of the line segment that connects the points?

Answer 1

12 units

Explanation:

Edgenu ity

Answer 2

`\displaystyle d = 12`

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 (3, -8)

Point (3, 4)

Step 2: Identify

x₁ = 3, y₁ = -8

x₂ = 3, y₂ = 4

Step 3: 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 = √((3-3)^2+(4+8)^2)`
2. [Distance] [√Radical] (Parenthesis) Subtract/Add:
   `\displaystyle d = √((0)^2+(12)^2)`
3. [Distance] [√Radical] Evaluate exponent:
   `\displaystyle d = √((12)^2)`
4. [Distance] [√Radical] Evaluate/simplify:
   `\displaystyle d = 12`