If PUGS is a parallelogram, then the opposite sides of the parallelogram are parallel.
The equation of line PU is given as y = 4x - 2. This equation is in slope-intercept form (y = mx + b), where the coefficient of x represents the slope of the line.
In this case, the slope of line PU is 4.
Since the opposite sides of a parallelogram are parallel, the slope of GS will also be 4.
Therefore, the slope of GS is 4.