Step 1 :The y-intercept of a line is the point where the line crosses the y-axis. This is the value of y when x = 0.
Step 2 :In the equation \(y = 5x - 7\), we can find the y-intercept by setting x = 0 and solving for y.
Step 3 :Substitute x = 0 into the equation: \(y = 5(0) - 7\)
Step 4 :Simplify to get: \(y = -7\)
Step 5 :Final Answer: The y-intercept of the line \(y=5x-7\) is \(\boxed{-7}\)