Step 1 :The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Step 2 :In the given equation, \(y=\frac{4}{9} x\), we can see that the slope is \(\frac{4}{9}\) and the y-intercept is \(0\) (since there is no constant term).
Step 3 :The graph of the line is a straight line that passes through the origin and has a positive slope.
Step 4 :Final Answer: The slope of the line is \(\boxed{\frac{4}{9}}\) and the y-intercept is \(\boxed{0}\).