Respuesta :

Space

Answer:

[tex]\displaystyle m=\frac{-2}{5}[/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, 5)

Point (-3, 7)

Step 2: Identify

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

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{7-5}{-3-2}[/tex]
  2. [Slope] [Fraction] Subtract:                                                                             [tex]\displaystyle m=\frac{2}{-5}[/tex]
  3. [Slope] [Fraction] Rewrite:                                                                              [tex]\displaystyle m=\frac{-2}{5}[/tex]

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