what is the parallel slope intercept form pls help?

If the line is parallel to the one given, their slopes are the same, so we need to find the y-intercept, then we can determine the slope-intercept form parallel to the given line.
[tex]-1 = 4(4) + b\\\\-1 = 16 + b\\\\-17 = b[/tex]
Now that we have the y-intercept, we can create the equation.
[tex]y = 4x - 17[/tex]
We can prove this by graphing both lines, like so.