x + 6y = 12
You want the y-value to be on one side of the equation, so you have to subtract the x-value from both sides.
6y = -x + 12
Next, you divide both sides by 6, so that the y-value will be by itself.
y = - [tex]\frac{1}{6}[/tex] + 2
We know that the slope or the 'm' value is located before the x-value based on y = mx +b, therefore the slope is - [tex]\frac{1}{6}[/tex]