X=(-5,4) after a reflection about the line y=-1, we can use the concept of symmetry.
When a point is reflected across a line, the new point will be the same distance from the line as the original point, but on the opposite side of the line.
In this case, the line of reflection is y=-1. The line y=-1 is a horizontal line located one unit below the x-axis.
To reflect the point X=(-5,4) about the line y=-1:
1. The y-coordinate of the reflected point will be -1 unit from the line y=-1.
2. The x-coordinate of the reflected point will be the same as the original x-coordinate.
Since point X=(-5,4) is above the line y=-1, the reflected point will be located below the line y=-1.
Therefore, the new position of point X after the reflection about the line y=-1 will be (-5, -6).