Question

Find the slope of the line passing through the pair of points or state that the slope is undefined.

(-2,6) and (5,5)

Answer 1

`\displaystyle m=(-1)/(7)`

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, 6)

Point (5, 5)

Step 2: Identify

x₁ = -2, y₁ = 6

x₂ = 5, y₂ = 5

Step 3: 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=(5-6)/(5+2)`
2. [Slope] [Fraction] Subtract/Add:
   `\displaystyle m=(-1)/(7)`