Final answer:
The equation representing the line parallel to y=3 and passing through (-2,8) is y=8, as parallel lines have the same slope and y=3 has a slope of 0.
Step-by-step explanation:
The equation that represents the line parallel to y=3 and passes through the point (-2,8) can be found by considering the properties of parallel lines. The line y=3 is a horizontal line, which means it has a slope of 0. Since parallel lines have the same slope, the line we are looking for will also have a slope of 0. Furthermore, because it passes through the point (-2,8), the y-intercept is irrelevant. Therefore, the equation of the line parallel to y=3 and passing through (-2,8) is simply y=8.