Respuesta :

Space

Answer:

y = 2x - 1

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 on the graph.

Point (1, 1)

Point (-1, -3)

Step 2: Find slope m

  1. Substitute:                    [tex]m=\frac{-3-1}{-1-1}[/tex]
  2. Subtract:                       [tex]m=\frac{-4}{-2}[/tex]
  3. Divide:                          [tex]m=2[/tex]

Step 3: Find y-intercept b

Given: (0, -1) as y-intercept

Step 4: Write linear equation

y = 2x - 1

Answer:

Step-by-step explanation:

(-1, -3) (1,1)

(1+3)/(1+1) = 4/2= 2

y + 3 = 2(x + 1)

y + 3 = 2x + 2

y = 2x - 1