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Find the slope of the line that passes through the points (0,-4) and (10,3)

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Answer:


\displaystyle m = (7)/(10)

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:
    \displaystyle m = (y_2-y_1)/(x_2-x_1)

Explanation:

Step 1: Define

Identify

Point (0, -4)

Point (10, 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]:
    \displaystyle m = (3--4)/(10-0)
  2. [Fraction] Subtract:
    \displaystyle m = (7)/(10)
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