Question

What is the slope of the line through (-1,8) and (3,-4)?

Answer 1

Answer:

slope = -3

Step-by-step explanation:

See the pinned image.

Answer 2

Answer:

$\displaystyle m=-3$

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

• Coordinates (x, y)
• Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-1, 8)

Point (3, -4)

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]:                                                             $\displaystyle m=\frac{-4-8}{3+1}$
2. [Slope] Subtract/Add:                                                                                      $\displaystyle m=\frac{-12}{4}$
3. [Slope] Divide:                                                                                                  $\displaystyle m=-3$