Question

What is the slope of the line that passes through the points (8,8) and (20,−2)? Write your answer in simplest form.

Answer 1

`\displaystyle m=(-5)/(6)`

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

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

Explanation:

Step 1: Define

Point (8, 8)

Point (20, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

1. Substitute [SF]:
   `\displaystyle m=(-2-8)/(20-8)`
2. [Fraction] Subtract:
   `\displaystyle m=(-10)/(12)`
3. [Fraction] Simplify:
   `\displaystyle m=(-5)/(6)`