Question

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

Answer 1

`d = √(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 = √((x_2-x_1)^2+(y_2-y_1)^2)`

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 = √((-7+4)^2+(-2-3)^2)`
2. Add/Subtract:
   `d = √((-3)^2+(-5)^2)`
3. Exponents:
   `d = √(9+25)`
4. Add:
   `d = √(34)`