Question

What is the distance between the points (1,-6) and (5,-3)?

Answer 1

Answer: 5 is the answer

Use the distance formula to determine the distance between two points.

Answer 2

`\displaystyle d = 5`

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 (1, -6)

Point (5, -3)

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 = √((5 - 1)^2 + (-3 + 6)^2)`
2. [Order of Operations] Evaluate:
   `\displaystyle d = √(25)`
3. Simplify:
   `\displaystyle d = 5`