Question

Find the slope of the line through the given points (4,-2),(-1,8)

Answer 1

`\displaystyle m=-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

• Coordinates (x, y)
• Slope Formula:
  `\displaystyle m=(y_2-y_1)/(x_2-x_1)`

Explanation:

Step 1: Define

Point (4, -2)

Point (-1, 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)/(-1-4)`
2. [Fraction] Add/Subtract:
   `\displaystyle m=(10)/(-5)`
3. [Fraction] Divide:
   `\displaystyle m=-2`