The equation of line having slope $\(\frac{5}{3}\)$ is $\(y=\frac{5}{3} x+c\)$, where c is the y -intercept (The equation of a line having slope ' $\(m\)$ ' and $\(y\)$-intercept ' $\(c\)$ ' is $\(y=m x+c\)$ ).

As the line above passes through $\((3,5)\)$, we get $\(5=\frac{5}{3} \times 3+c \Rightarrow c=5-5=0^{-}\)$

So, the equation of line is $\(y=\frac{5}{3} x+0\)$ i.e. $\(3 y-5 x=0\)$

Now, checking from the options only $\((0,0)\)$ satisfy the equation, so pass through the straight line. Hence the answer is (B).