Respuesta :

Answer:

The slope is: 3

The y-intercept is: [tex]\frac{2}{3}[/tex] or [tex]0.66[/tex]

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope of the line and "b" is the y-intercept.

To write the given equation in this form, we need to solve for "y":

[tex]9x - 3y = -2\\\\- 3y = -9x-2\\\\y=3x+\frac{2}{3}[/tex]

Therefore, you can identify that the slope of this line is:

[tex]m=3[/tex]

And the y-intercept is:

[tex]b=\frac{2}{3}=0.66[/tex]