Respuesta :

Space

Answer:

y = 3/4x - 2

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Algebra I

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

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

Step-by-step explanation:

Step 1: Define points

Find some points from the graph.

y-intercept (0, -2)

Point (-4, -5)

Step 2: Find slope m

  1. Substitute:                    [tex]m=\frac{-5+2}{-4-0}[/tex]
  2. Add/Subtract:               [tex]m=\frac{-3}{-4}[/tex]
  3. Simplify:                        [tex]m=\frac{3}{4}[/tex]

Step 3: Write linear equation

y = 3/4x - 2