Respuesta :

y₂-y₁
--------
x₂-x₁

x₁ = -3
y₁ = 4

x₂ = 4
y₂ = -1


-1 - 4
----------- =
4 - (-3)

-5
-----
7


m = -⁵/₇
Space

Answer:

[tex]\displaystyle m=\frac{-5}{7}[/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 (-3, 4)

Point (4, -1)

Step 2: Identify

x₁ = -3, y₁ = 4

x₂ = 4, y₂ = -1

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{-1-4}{4--3}[/tex]
  2. [Slope] Simplify denominator [Fraction]:                                                        [tex]\displaystyle m=\frac{-1-4}{4+3}[/tex]
  3. [Slope] Subtract/Add [Fraction]:                                                                     [tex]\displaystyle m=\frac{-5}{7}[/tex]

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