Final answer:
The correct equation is 'y = 5x - 2' as it has the same slope as 'y = 5x - 4' and passes through the point (5, 2).
Step-by-step explanation:
The objective of this mathematics problem is to identify the equation of a line that is parallel to the line represented by the equation y = 5x - 4 and passes through the point (5, 2). To find the correct equation amongst the given options, we need to choose the one with the same slope as 5, as parallel lines have the same slope. This eliminates options a and c. Next, we need to ensure that the line passes through the given point. By plugging the coordinates into the remaining equations, only option d (y = 5x - 2) satisfies the condition when x=5 and y=2. Therefore, the correct answer is option d: y = 5x - 2.