Question

What's the distance between points (2,-3) and (5,1)

Answer 1

`d = 5`

General Formulas and Concepts:

Order of Operations: BPEMDAS

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

Explanation:

Step 1: Define points

(2, -3)

(5, 1)

Step 2: Solve for d

1. Substitute:
   `d = √((5-2)^2+(1-(-3))^2)`
2. Subtract:
   `d = √((3)^2+(1-(-3))^2)`
3. Change signs:
   `d = √((3)^2+(1+3)^2)`
4. Add:
   `d = √((3)^2+(4)^2)`
5. Exponents:
   `d = √(9+16)`
6. Add:
   `d = √(25)`
7. Evaluate:
   `d = 5`