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

  • Coordinates (x, y)
  • Reading a Cartesian plane
  • Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (-3, 1)

Point (3, -3)

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]:                                                            [tex]\displaystyle m=\frac{-3-1}{3+3}[/tex]
  2. [Fraction] Subtract/Add:                                                                                 [tex]\displaystyle m=\frac{-4}{6}[/tex]
  3. [Fraction] Simplify:                                                                                          [tex]\displaystyle m=\frac{-2}{3}[/tex]

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