16.7k views
13 votes
Find the slope given: (3, -10) & (4, -21)
m =

User Juri Noga
by
3.2k points

1 Answer

12 votes

Answer:


\displaystyle m=-11

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

Point (3, -10)

Point (4, -21)

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=(-21+10)/(4-3)
  2. [Fraction] Add/Subtract:
    \displaystyle m=(-11)/(1)
  3. [Fraction] Divide:
    \displaystyle m=-11
User Stefan Jaspers
by
3.7k points