Find the slope of the line passing through the pair of points or state that the slope is undefined.
(-2,6) and (5,5)

Respuesta :

Space

Answer:

[tex]\displaystyle m=\frac{-1}{7}[/tex]

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: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step 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]:                                                                 [tex]\displaystyle m=\frac{5-6}{5+2}[/tex]
  2. [Slope] [Fraction] Subtract/Add:                                                                      [tex]\displaystyle m=\frac{-1}{7}[/tex]