Answer:
y = -2x + 4
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation in a standard form:
[tex]6x+3y=12[/tex]
Convert:
[tex]6x+3y=12[/tex] subtract 6x from both sides
[tex]6x-6x+3y=-6x+12[/tex]
[tex]3y=-6x+12[/tex] divide both sides by 3
[tex]\dfrac{3y}{3}=\dfrac{-6x}{3}+\dfrac{12}{3}[/tex]
[tex]y=-2x+4[/tex]
