Respuesta :

Answer:

We conclude that the equation of this line in the slope-intercept form will be:

  • [tex]y = -3z+2[/tex]

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

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

where m is the slope and b is the y-intercept.

Given the equation

[tex]3z +y=2[/tex]

Writing the equation in the slope-intercept form of the line equation by simplifying it

subtracting 3z from both sides

[tex]3z+y-3z = -3z+2[/tex]

[tex]y = -3z+2[/tex]

Therefore, we conclude that the equation of this line in the slope-intercept form will be:

  • [tex]y = -3z+2[/tex]