Respuesta :

Space

Answer:

[tex]\displaystyle m = \frac{2}{3}[/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

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

Step-by-step explanation:

Step 1: Define

Identify.

Point (-4, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

  1. Substitute in variables [Slope Formula]:                                                          [tex]\displaystyle m = \frac{5 - 1}{2 + 4}[/tex]
  2. [Order of Operations] Add/Subtract:                                                               [tex]\displaystyle m = \frac{4}{6}[/tex]
  3. Simplify:                                                                                                         [tex]\displaystyle m = \frac{2}{3}[/tex]    
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