Which of the following lines has a slope of -1/3 and a y-intercept of 6? x - 3y = 6 x + 3y = 18 3y - x = 18

The correct option is 2. The equation of line is x + 3y = 18.

Step-by-step explanation:

The slope intercept form of a line is

where, m is slope and b is y-intercept.

It is given that the slope of a line is -1/3 and a y-intercept is 6.

Substitute m=-1/3 and b=6 in the above equation.

Multiply both the sides by 3.

Add x on both the sides.

The equation of line is x + 3y = 18. Therefore the correct option is 2.