If at any fixed instant of time, the velocity vector is tangential to a imaginary space curve, in a fluid flow, the space curve so drawn is called a stream line.
The equation of a general stream line is given by
d x / u = d y / u = d z / u
In two rectangular coordinates in x and y, we have
d x / u = d y / u or d y / d x = u / v
which states that the slope of a plane stream line equals to the ratio of their respective velocity.