Question

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

Answer 1

Answer:

$\displaystyle m = 2$

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: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step 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]:                                                              $\displaystyle m = \frac{12-4}{3--1}$
2. [Fraction] Subtract:                                                                                           $\displaystyle m = \frac{8}{4}$
3. [Fraction] Divide:                                                                                               $\displaystyle m = 2$