Question

(-5,5) reflected across the line y=-1

Answer 1

To reflect the point (-5, 5) across the line y = -1, you can follow these steps:

1. Find the distance between the point (-5, 5) and the line y = -1. This distance represents how far the point needs to be moved to reach the reflected point.

Distance = (y-coordinate of the line - y-coordinate of the point) = (-1 - 5) = -6

2. Now, you need to move the point vertically downward by the same distance. Since the distance is negative, you'll move it in the negative y-direction.

Reflected y-coordinate = Original y-coordinate + Distance = 5 - 6 = -1

So, the reflected point is (-5, -1).

Explanation: