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What is the slope of the line that passes through the points (9, 5) and (21, 1)?
Write your answer in simplest form.

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Answer:

[tex]\displaystyle m = \frac{-1}{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)
  • Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (9, 5)

Point (21, 1)

Step 2: Solve for slope m

  1. Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{1-5}{21-9}[/tex]
  2. [Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{-4}{12}[/tex]
  3. [Fraction] Simplify:                                                                                            [tex]\displaystyle m = \frac{-1}{3}[/tex]
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