Question

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

Answer 1

Answer:

$d = 3\sqrt{13}$

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra II

• Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (-9, 8)

Point (-3, -1)

Step 2: Find distance d

1. Substitute:                    $d = \sqrt{(-3+9)^2+(-1-8)^2}$
2. Add/Subtract:               $d = \sqrt{(6)^2+(-9)^2}$
3. Evaluate:                       $d = \sqrt{36+81}$
4. Add:                              $d = \sqrt{117}$
5. Simplify:                        $d = 3\sqrt{13}$

And we have our final answer!