Respuesta :

Answer:

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

Step-by-step explanation:

we know that

The equation of the line into slope-intercept form is equal to

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

In this problem we have

[tex]-6x+2y=4[/tex]

Convert to slope-intercept form

Isolate the variable y

[tex]2y=6x+4[/tex]

[tex]y=3x+2[/tex] -----> equation of the line into slope intercept form

the slope is equal to [tex]m=3[/tex]

the y-intercept is equal to [tex]b=4[/tex]