Answer:
(6, -3) in the line x = -1 would be (-1, -17).
Step-by-step explanation:
The point (6, -3) reflected in the line x = -1 would result in a new point on the opposite side of the line. To find the reflected point, you can follow these steps:
1. Determine the distance between the original point and the line x = -1. Since the line is vertical, the distance will be the difference between the x-coordinate of the original point and the line's x-coordinate. In this case, the distance is 6 - (-1) = 7.
2. Reflect the original point across the line by moving it the same distance in the opposite direction. Since the line x = -1 is vertical, the x-coordinate of the reflected point will remain the same. The y-coordinate will change, however, so you need to subtract the distance twice from the y-coordinate of the original point. In this case, the y-coordinate of the reflected point would be -3 - 2(7) = -17.
Therefore, the reflected point of (6, -3) in the line x = -1 would be (-1, -17).