Question

Find the distance between the pair of points that given on the graph?

Answer 1

Answer:

$\displaystyle d = \sqrt{74}$

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 I

• Reading a coordinate plane
• Coordinates (x, y)

Algebra Ii

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

Step-by-step explanation:

Step 1: Define

Find endpoints from graph

Point (-3, -3)

Point (4, 2)

Step 2: Find distance d

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

1. Substitute in points [Distance Formula]:                                                         $\displaystyle d = \sqrt{(4- -3)^2+(2- -3)^2}$
2. [√Radical] (Parenthesis) Subtract:                                                                    $\displaystyle d = \sqrt{7^2+5^2}$
3. [√Radical] Evaluate exponents:                                                                       $\displaystyle d = \sqrt{49+25}$
4. [√Radical] Add:                                                                                                  $\displaystyle d = \sqrt{74}$