Final answer:
The equation of the line parallel to y = 5x - 7 that passes through (0, 4) is y = 5x + 4.
Step-by-step explanation:
To work out the equation of a line that is parallel to the line given by the equation y = 5x - 7 and passes through the point (0, 4), we need to understand that parallel lines have the same slope.
Since the slope of the given line is 5, the new line will also have a slope of 5. Our new line needs to pass through the point (0, 4), which is the y-intercept of the line.
Therefore, the equation of the new line will be y = 5x + 4.