Given a point on a line segment (−4, −6)

Question

, what is the new point when the point is rotated clockwise about the origin 90 degrees

Answer 1

To rotate a point \((x, y)\) clockwise by 90 degrees about the origin, the transformation can be applied as follows:

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

For the point \((-4, -6)\), we can substitute \(x = -4\) and \(y = -6\):

\[ (-4, -6) \rightarrow (-6, -(-4)) = (-6, 4) \]

Thus, the new point after rotating \((-4, -6)\) clockwise 90 degrees about the origin is:

\[ \boxed{(-6, 4)} \]