Respuesta :

Space

Answer:

[tex]\displaystyle m=-0.2[/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

  • 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 (-10, 6) → x₁ = -10, y₁ = 6

Point (-15, 7) → x₁ = -15, y₁ = 7

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]:                                                            [tex]\displaystyle m=\frac{7-6}{-15+10}[/tex]
  2. [Fraction] Subtract/Add:                                                                                 [tex]\displaystyle m=\frac{1}{-5}[/tex]
  3. [Fraction] Convert:                                                                                          [tex]\displaystyle m=-0.2[/tex]

We will be using the above formula. The answer will be a bit rough.

Okay. So our two points are (-10, 6) and (-15, 7). The number first in the brackets is always the 'x' variable while the second number in the bracket is always the 'y' variable. I will be using ² instead of the bottom 2 (As shown in the formula).

x = -10 x² = -15

y = 6 y² = 7

7 - 6

m = ———

- 15 - (-10) = -15 + 10

1

m = ——— OR - 0.2

- 5

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