Question

What is the slope of the line through (-5, -10) and (-1, 5)?

Answer 1

`\displaystyle m=(15)/(4)`

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 (-5, -10)

Point (-1, 5)

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=(5+10)/(-1+5)`
2. [Fraction] Add:
   `\displaystyle m=(15)/(4)`