Final answer:
The correct equation for a line parallel to the given line with a y-intercept of -1/3 is y = 4x - 1/3.
Step-by-step explanation:
The equation of a line that is parallel to another line will have the same slope as the original line. The given equation (y - 4x + 3) can be rewritten in slope-intercept form as y = 4x - 3, which tells us that the slope is 4. To find a line parallel to this that has a y-intercept of -1/3, we keep the same slope and change the y-intercept. Therefore, the correct equation of the line is (y = 4x - 1/3). This corresponds to option c) y = 4x - 1/3.