Step 1 :Consider the given y-intercept and slope: (0,2), m=\(\frac{2}{5}\).
Step 2 :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 3 :Given that the y-intercept is (0,2), we have b = 2.
Step 4 :Also, the slope is given as \(\frac{2}{5}\), so m = \(\frac{2}{5}\).
Step 5 :Substitute these values into the equation to find the equation of the line: m = 0.4, b = 2.
Step 6 :The equation of the line is \(\boxed{y = 0.4x + 2}\).