Question

Find the distance between the two points S (-5,-2) and T (-3,4).

Answer 1

Answer:

$d =2 \sqrt{10}$

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

S (-5, -2)

T (-3, 4)

Step 2: Find distance d

1. Substitute:                    $d = \sqrt{(-3+5)^2+(4+2)^2}$
2. Add:                              $d = \sqrt{(2)^2+(6)^2}$
3. Evaluate:                      $d = \sqrt{4+36}$
4. Add:                              $d = \sqrt{40}$
5. Simplify:                       $d =2 \sqrt{10}$