Final answer:
The equation of a line parallel to y = 4x - 11 is option a. y = 4x + 3, as it has the same slope of 4, which is a characteristic of parallel lines.
Step-by-step explanation:
The question asks which equation represents a line parallel to the given equation y = 4x - 11. To determine which line is parallel, we must find an equation with a slope that is equal to the slope of the given equation. The slope of the given line is 4 since the equation is in the slope-intercept form y = mx + b, where m represents the slope. Parallel lines have identical slopes, so we are looking for an equation with a slope of 4. Among the provided options, the equation that is parallel to y = 4x - 11 is a. y = 4x + 3 because it has the same slope of 4 but a different y-intercept.