Answer: y = (-1/6)x + 3
Step-by-step explanation: to convert the equation x+6y=18 into slope-intercept form, we need to isolate y on one side of the equation. We can do this by subtracting x from both sides of the equation: x + 6y = 18
6y = -x + 18 Next, we can divide both sides of the equation by 6 to get y by itself: y = (-1/6)x + 3 therefore, the slope-intercept form of the equation x+6y=18 is y = (-1/6)x + 3.