Given a point on a line segment (−4, −6) , what is the new point when the point is rotated clockwise about the origin 90 degrees?

1.(−6, 4)
2.(−6, −4)
3.(−4, 6)
4.(4, 6)

To rotate a point 90 degrees clockwise about the origin, we switch the x-coordinate with the y-coordinate and negate the new x-coordinate.

So, switching the x-coordinate (-4) with the y-coordinate (-6), we get (-6, -4).

Therefore, the new point when the given point is rotated clockwise about the origin 90 degrees is option 2. (−6, −4)