The equation of the line is given as y = mx + b in slope-intercept form, where m is the slope and b is the y-intercept.
Therefore;
Having determined the y-intercept as 4 for the coordinates (-4, 1), and having in mind that lines that are parallel have the same slope, then;
The equation of the parallel line that passes through the point (-4, 1) is derived as y = -5/4x + 4