Step 1 :Given the slope \(m = -\frac{2}{5}\) and the y-intercept \(b = 7\).
Step 2 :The equation of a line in slope-intercept form is given by \(y = mx + b\).
Step 3 :Substitute the given values into the equation to find the equation of the line.
Step 4 :So, the equation of the line is \(y = -\frac{2}{5}x + 7\).
Step 5 :Final Answer: The equation of the line is \(\boxed{y = -0.4x + 7}\).