Respuesta :

Answer:

The equation is y = [tex]-\frac{4}{3}[/tex] x + 3

Step-by-step explanation:

The form of the equation is y = m x + b, where

  • m is the slope
  • b is the y-intercept

∵ The slope of the line is [tex]-\frac{4}{3}[/tex]

m = [tex]-\frac{4}{3}[/tex]

→ Substitute it in the form of the equation above

∴ y =  [tex]-\frac{4}{3}[/tex] x + b

∵ The y-intercept = 3

b = 3

→ Substitute it in the equation above

∴ y = [tex]-\frac{4}{3}[/tex] x + 3

The equation is y = [tex]-\frac{4}{3}[/tex] x + 3

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