Respuesta :

Answer: y = −4 x − 3

Step-by-step explanation:

First change it into point slope form which is y − 1 = − 4 ⋅ (x + 1 )

The change it from point slope form to slope intercept which is  y = −4 x − 3

Answer:

y = - 4x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (2, - 11)

m = [tex]\frac{-11-1}{2+1}[/tex] = [tex]\frac{-12}{3}[/tex] = - 4 , then

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 1 ), then

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = - 4x - 3 ← equation of line