Find the slope and the y-intercept of the equation.

-3x + 9y = 18

Solve the given equation for y to obtain the slope and y-intercept of this equation:

-3x + 9y = 18

Add 3x to both sides: 3x - 3x + 9y = 18 + 3x

Simplifying, 9y = 3x + 18

Dividing both sides by 9 to solve for y:

y = (3/9) x + 2 or (after reduction) y = (1/3) x + 2

The slope is 1/3 and the y-int. is (0,2).