Final answer:
The equation of the line x-3y=18 can be written in slope-intercept form as y = 1/3x - 6.
Step-by-step explanation:
The equation of the line x-3y=18 can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept. To get the equation in this form, we need to solve for y.
First, let's subtract x from both sides of the equation to isolate -3y. This gives us -3y = -x + 18.
Next, divide both sides of the equation by -3 to solve for y. This gives us y = 1/3x - 6.