Question

What is the slope of a line that passes through the points (-2, 4) and (-6, 12)?

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Answer 1

`\displaystyle m=-2`

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 (-2, 4)

Point (-6, 12)

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=(12-4)/(-6+2)`
2. [Slope] [Fraction] Subtract/Add:
   `\displaystyle m=(8)/(-4)`
3. [Slope] [Fraction] Divide:
   `\displaystyle m=-2`