Question

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

Answer 1

`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 = √((x_2-x_1)^2+(y_2-y_1)^2)`

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 = √((2+6)^2+(3+3)^2)`
2. Add:
   `d = √((8)^2+(6)^2)`
3. Exponents:
   `d = √(64+36)`
4. Add:
   `d = √(100)`
5. Evaluate:
   `d = 10`