Final answer:
The equation of a line with the same slope as the given line and a y-intercept of 4 is y = 4x + 4, which corresponds to answer C.
Step-by-step explanation:
The student is asking for the equation of a line that has the same slope as a given line but with a y-intercept of 4. Since the given equations have a slope of 4 (derived from the coefficient of x in each equation), we need an equation that maintains this slope. The y-intercept is the constant term in the equation of a line (the value of y when x equals zero). Therefore, the line with the same slope of 4 and a y-intercept of 4 would be described by the equation y = 4x + 4. Consequently, the correct answer is C. y = 4x + 4.