Respuesta :

slope intercept form: y = mx + b    [ where m is slope and b is y-intercept ]

[tex]\dashrightarrow \ \sf9x + 3y = 27[/tex]

[tex]\dashrightarrow \ \sf 3y = 27 -9x[/tex]

[tex]\dashrightarrow \ \sf y = \dfrac{27 -9x}{3}[/tex]

[tex]\dashrightarrow \ \sf y = -3x + 9[/tex]

Here, the "slope is -3"  and  "y-intercept is 9"

Slope intercept form:-

  • y=mx+b

Now convert

  • 9x+3y=27
  • 3y=-9x+27
  • 3y=3(-3x+9)

Cancel 3

  • y=-3x+9