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nika2105 [10]
3 years ago
5

What is the slope of the line that passes through the points (9, 5) and (21, 1)?

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer:

\displaystyle m = \frac{-1}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (9, 5)

Point (21, 1)

<u>Step 2: Solve for slope </u><em><u>m</u></em>

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