Final answer:
The coordinates of H(-7, 1) after a reflection in the line x = -3 are (-13, 1).
Step-by-step explanation:
To determine the coordinates of the point H(-7, 1) after a reflection in the line x = -3, we need to reflect the x-coordinate about the vertical line x = -3 and keep the y-coordinate the same. Since the line of reflection is x = -3, the x-coordinate of the reflected point will be the same distance away from the line, but on the opposite side. Therefore, the coordinates of the reflected point H will be (-7 + 2*(-3), 1), which simplifies to (-7 - 6, 1), or (-13, 1).
Therefore, the correct answer is option d) H(-13, 1).