The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have [tex]3x+6y=12[/tex].
Transform to the slope-intercept form.
[tex]3x+6y=12[/tex] subtract 3x from both sides
[tex]6y=-3x+12[/tex] divide both sides by 6
[tex]y = -\dfrac{1}{2}x+2[/tex]
Answer:
[tex]slope\ m=-\dfrac{1}{2}\\\\y-intercept:(0,\ 2)[/tex]
