Step 1 :The slope-intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Step 2 :In this case, we are given that the slope \(m = \frac{7}{5}\) and the y-intercept \(b = -3\).
Step 3 :We can substitute these values into the equation to get the equation of the line.
Step 4 :Final Answer: The equation of the line is \(\boxed{y = \frac{7}{5}x - 3}\).