Answer:
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
[tex]y=mx+b[/tex]
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.
[tex]y=-\frac{1}{3}x+6[/tex]
Multiply both the sides by 3.
[tex]3y=-x+18[/tex]
Add x on both the sides.
[tex]x+3y=-x+18+x[/tex]
[tex]x+3y=18[/tex]
The equation of line is x + 3y = 18. Therefore the correct option is 2.
