Question

Find the slope of the line going through the points (0, -5) and (-2,1)

The slope of the line is m=_____.​

Answer 1

`\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 (0, -5)

Point (-2, 1)

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=(-5-1)/(0--2)`
2. [Fraction - Denominator] Simplify:
   `\displaystyle m=(-5-1)/(0+2)`
3. [Fraction - Numerator] Subtract:
   `\displaystyle m=(-6)/(0+2)`
4. [Fraction - Denominator] Add:
   `\displaystyle m=(-6)/(2)`
5. [Fraction] Divide:
   `\displaystyle m=-3`