Question

What is the slope of the line that passes through the pair of points (-1, 4), (3,12)​

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

Identify

Point (-1, 4)

Point (3, 12)

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 = (12-4)/(3--1)`
2. [Fraction] Subtract:
   `\displaystyle m = (8)/(4)`
3. [Fraction] Divide:
   `\displaystyle m = 2`