iven a point (−6, 4) in a line segment, what is the new point when the line segment is rotated counterclockwise about the origin 180 degrees?

Answer 1

To rotate a point \((x, y)\) counterclockwise about the origin by \(180\) degrees, you can use the following transformation:

\[ (x, y) \rightarrow (-x, -y) \]

For the given point \((-6, 4)\):

1. We apply the transformation: \[ (-6, 4) \rightarrow (6, -4) \]

Thus, the new point after rotating \((-6, 4)\) counterclockwise about the origin by \(180\) degrees is \((6, -4)\).