## Find AB when A(-4, 1) and B(3, -1)

Question

Find AB when
A(-4, 1) and B(3, -1)

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1 year 2021-09-04T04:46:13+00:00 1 Answers 10 views 0

$$\displaystyle d = \sqrt{53}$$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
7. Subtraction
• Left to Right

Algebra I

• 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

Point A(-4, 1)

Point B(3, -1)

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]:                                                       $$\displaystyle d = \sqrt{(3+4)^2+(-1-1)^2}$$
2. [√Radical] (Parenthesis) Add/Subtract:                                                         $$\displaystyle d = \sqrt{(7)^2+(-2)^2}$$
3. [√Radical] Evaluate exponents:                                                                     $$\displaystyle d = \sqrt{49+4}$$
4. [√Radical] Add:                                                                                                $$\displaystyle d = \sqrt{53}$$