Question

Find the distance between the line segment with end points (-3,5) and (1,5)

Answer 1

`\displaystyle d = 4`

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

Identify

Point (-3, 5)

Point (1, 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 = √((1- -3)^2+(5- 5)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √(4^2+0^2)`
3. [√Radical] Simplify:
   `\displaystyle d = √(4^2)`
4. [√Radical] Evaluate:
   `\displaystyle d = 4`