Question

What is the slope between points (5, -7) and (-7, 1)

Answer 1

`\displaystyle m=(-2)/(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

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

Explanation:

Step 1: Define

Point (5, -7)

Point (-7, 1)

Step 2: Find slope m

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

1. Substitute in points [SF]:
   `\displaystyle m=(1+7)/(-7-5)`
2. [Fraction] Add/Subtract:
   `\displaystyle m=(8)/(-12)`
3. [Fraction] Simplify:
   `\displaystyle m=(-2)/(3)`