Question

Given point T(-6,-3) and point K(2,3), find the distance from point T to point K.​

Answer 1

Answer:

$d = 10$

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 II

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

Step-by-step explanation:

Step 1: Define

Point T (-6, -3)

Point K (2, 3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

1. Substitute [DF]:                    $d = \sqrt{(2+6)^2+(3+3)^2}$
2. Add:                                      $d = \sqrt{(8)^2+(6)^2}$
3. Exponents:                           $d = \sqrt{64+36}$
4. Add:                                      $d = \sqrt{100}$
5. Evaluate:                              $d = 10$