Final answer:
The distance between point A (-6, 4) and point B (3, 4) is found by subtracting their x-coordinates, yielding a distance of 9 units. The correct expression for distance is not listed among the provided options, suggesting an error in the question or choices.
Step-by-step explanation:
To find the distance between two points with the same y-coordinates, you can simply subtract the x-coordinates if they are on the same horizontal line. Here, the coordinates of point A are (-6, 4) and the coordinates of point B are (3, 4). The y-coordinates are the same, so the distance is the absolute value of the difference between the x-coordinates.
The difference in x-coordinates is 3 - (-6) = 3 + 6 = 9. Therefore, the distance between the two points is 9 units. This eliminates options A, B, and C, as none represent the correct calculation. Option D, which proposes 4 - |-6|, does not make mathematical sense for the given points.
Since none of the provided expressions (A, B, C, D) correctly represents the distance between the two points, it appears there might be an error in the question or the answer choices, as none correspond to the correct computation for distance.