Question

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

Answer 1

slope = -3

Explanation:

See the pinned image.

Answer 2

`\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=(y_2-y_1)/(x_2-x_1)`

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