To find the equation of a line, we can use the following equation:
[tex]y-y_1=m(x-x_1)[/tex]Where m is the slope and (x1,y1) is a point of the line.
The line needs to be parallel to y=1/3x. So, the slope of the line is the same as in the equation and it is equal to 1/3.
So, replacing m by 1/3 and (x1, y1) by (6,0), the equation of the line is:
[tex]\begin{gathered} y-0=\frac{1}{3}(x-6) \\ y=\frac{1}{3}x-\frac{1}{3}\cdot6 \\ y=\frac{1}{3}x-2 \end{gathered}[/tex]Answer: y = (1/3)x - 2
