Question

Given the points (5,2) and (3,8) find the slope

Answer 1

`\displaystyle m = -3`

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)

Slope Formula:
`\displaystyle m = (y_2 - y_1)/(x_2 - x_1)`

Explanation:

Step 1: Define

Identify.

Point (5, 2)

Point (3, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

1. Substitute in points [Slope Formula]:
   `\displaystyle m = (8 - 2)/(3 - 5)`
2. [Order of Operations] Simplify:
   `\displaystyle m = (6)/(-2)`
3. Simplify:
   `\displaystyle m = -3`