Question

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

Answer 1

Answer:

$d = 5$

General Formulas and Concepts:

Order of Operations: BPEMDAS

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

Step-by-step explanation:

Step 1: Define points

(2, -3)

(5, 1)

Step 2: Solve for d

1. Substitute:                              $d = \sqrt{(5-2)^2+(1-(-3))^2}$
2. Subtract:                                 $d = \sqrt{(3)^2+(1-(-3))^2}$
3. Change signs:                        $d = \sqrt{(3)^2+(1+3)^2}$
4. Add:                                        $d = \sqrt{(3)^2+(4)^2}$
5. Exponents:                             $d = \sqrt{9+16}$
6. Add:                                        $d = \sqrt{25}$
7. Evaluate:                                 $d = 5$