Question

Given L(-4, 3) and M(-7, -2), what is the length of segment LM?

Answer 1

Answer:

$d = \sqrt{34}$

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

Step-by-step explanation:

Step 1: Define

Point L (-4, 3)

Point M (-7, -2)

Step 2: Find distance d

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

1. Substitute [DF]:                    $d = \sqrt{(-7+4)^2+(-2-3)^2}$
2. Add/Subtract:                       $d = \sqrt{(-3)^2+(-5)^2}$
3. Exponents:                           $d = \sqrt{9+25}$
4. Add:                                      $d = \sqrt{34}$