Question

Find the distance between the two points in simplest radical form.
(-9,8) and (-3,-1)

Answer 1

`d = 3√(13)`

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra II

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

Explanation:

Step 1: Define

Point (-9, 8)

Point (-3, -1)

Step 2: Find distance d

1. Substitute:
   `d = √((-3+9)^2+(-1-8)^2)`
2. Add/Subtract:
   `d = √((6)^2+(-9)^2)`
3. Evaluate:
   `d = √(36+81)`
4. Add:
   `d = √(117)`
5. Simplify:
   `d = 3√(13)`

And we have our final answer!