Answer:
Yes, k = 1/3 and y = 1/3x
Step-by-step explanation:
[tex]\text{The given line passes through the origin, hence it has equation of the form:}\\y=kx[/tex]
[tex]\text{Therefore y varies directly as x.}The line passes through the point (3,1)}[/tex]
[tex]\text{This implies that,}[/tex]
[tex]1=k(3)\\k=\frac{1}{3}[/tex][tex]\text{Hence the constant of variation is}[/tex] ⇒ [tex]\frac{1}{3}[/tex]
The equation would be ⇒ [tex]y=\frac{1}{3} x[/tex]
