Answer:
Option D: [tex]y=\frac{1}{3}x+2[/tex] is the correct answer.
Step-by-step explanation:
Given that:
Slope of the line = 1/3
Point = (-6,0)
Slope-intercept form of a line is given by:
y = mx + b
We will put the slope and point in the equation to find b.
[tex]0=\frac{1}{3}(-6)+b\\0=-2+b\\b=2[/tex]
Slope intercept form of the given line is;
[tex]y=\frac{1}{3}x+2[/tex]
Hence,
Option D: [tex]y=\frac{1}{3}x+2[/tex] is the correct answer.
