Respuesta :

Space

Answer:

y = 1/2x - 3/2

General Formulas and Concepts:

Order of Operations: BPEMDAS

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 coordinates:

(-3, -3)

(1, -1)

Step 2: Find slope m

[tex]m=\frac{-1-(-3)}{1-(-3)}[/tex]

[tex]m=\frac{-1+3}{1+3}[/tex]

[tex]m=\frac{2}{4}[/tex]

[tex]m=\frac{1}{2}[/tex]

Step 3: Find y-intercept b

  1. Define:                                        y = 1/2x + b
  2. Substitute:                                  -1 = 1/2(1) + b
  3. Multiply:                                      -1 = 1/2 + b
  4. Subtract 1/2 on both sides:       -3/2 = b

Step 4: Write linear equation:

Plug in the newly found b into the equation.

y = 1/2x - 3/2

NameNeverMatters

rise/run = slope

slope = 2/4 = 1/2

y = 1/2x +b

now, choose a point on the line and substitute y for the y coordinate and x for the x coordinate -----------> i will use (1, -1)

-1 = 1/2(1) + b

-1 = 1/2 +b

subtract 1/2 from both sides

-3/2 = b

y = 1/2x - 3/2

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