Question

Find the distance between points R (3,6) ; S (5,6)

Answer 1

2

Explanation:

The formula for the lenght of a line is

`\sqrt{(x2 \: - x1)^(2) + (y2 - y1) ^(2) }`

We can assume that the distance between them is equal to

`\sqrt{ {(5 - 3)}^(2) + {(6 - 6)}^(2) } = \sqrt{2^(2) + 0} = √(4) = 2`

From the given coordinayes x1 =5, x2 =3. Y1 =6, y2 =6

Answer 2

`\displaystyle d = 2`

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

Coordinate Planes

• Coordinates (x, y)

Algebra II

Distance Formula:
`\displaystyle d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Explanation:

Step 1: Define

Identify.

Point R(3, 5)

Point S(5, 6)

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 = √((5 - 3)^2 + (6 - 6)^2)`
2. [Order of Operations] Simplify:
   `\displaystyle d = 2`