Respuesta :

Space

Answer:

y = -3x - 6

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Algebra I

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

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from graph.

x-intercept (-2, 0)

y-intercept (0, -6)

Step 2: Find slope m

  1. Substitute:                  [tex]m=\frac{-6-0}{0+2}[/tex]
  2. Subtract/Add:             [tex]m=\frac{-6}{2}[/tex]
  3. Divide:                        [tex]m=-3[/tex]

Step 3: Redefine

Slope m = -3

y-intercept b = -6

Step 4: Write linear equation

Slope-Intercept Form:   y = -3x - 6