Final answer:
The image of the point (-6,7) after a reflection over the x-axis is (-6,-7), with the sign of the y-coordinate changed.
Step-by-step explanation:
The image of a point after a reflection over the x-axis is found by changing the sign of the y-coordinate while keeping the x-coordinate the same. For the point (-6,7), the x-coordinate is -6 and the y-coordinate is 7. After reflecting over the x-axis, the x-coordinate will remain -6, but the y-coordinate will become -7. Hence, the image of the point (-6,7) after reflection over the x-axis will be (-6,-7).