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What is the slope of the line that passes through the points (-5, -7) and (4,-1)?
Write your answer in simplest form

Respuesta :

Answer:

2/3

Step-by-step explanation:

-7 - -1  = -6

-5 - 4 = -9

-6/-9= 2/3

Space

Answer:

[tex]m=\frac{2}{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

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

Step-by-step explanation:

Step 1: Define

Point (-5, -7)

Point (4, -1)

Step 2: Find slope m

  1. Substitute [Slope Formula]:                    [tex]m=\frac{-1+7}{4+5}[/tex]
  2. Add:                                                          [tex]m=\frac{6}{9}[/tex]
  3. Simplify:                                                   [tex]m=\frac{2}{3}[/tex]