Respuesta :

Space

Answer:

[tex]\displaystyle m=-2[/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]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (5, -10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m. Slope and gradient is the same.

  1. Substitute in points [SF]:                    [tex]\displaystyle m=\frac{-10-0}{5-0}[/tex]
  2. [Fraction] Subtract:                             [tex]\displaystyle m=\frac{-10}{5}[/tex]
  3. [Fraction] Divide:                                [tex]\displaystyle m=-2[/tex]
manissaha129

Answer:

Let "m" be the slope of the line passing through the point.

[tex]m = \frac{y_ 2 - y_1}{x_ 2 - x_1 } = \frac{( - 10 - 0)}{(5 - 0)} = \frac{ - 10}{5} = \boxed{- 2 }[/tex]

-2 is the gradient of the line that passes through the points (0,0) and (5,-10).

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