The image of the point (4, - 7) after a rotation of 180° counterclockwise about the origin is (-4, 7)
How to determine the image of the rotation
From the question, we have the following parameters that can be used in our computation:
Point = (4, -7)
Rotation: 180 Degrees counterclockwise about the origin
To determine the coordinate rule for the rotation, we have
A 180-degree rotation: (x, y) → (-x, -y).
This means that
Image = (-4, --7)
Evaluate
Image = (-4, 7)
Hence, the image of the rotation is (-4, 7)