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 point) Responses (4, 6) left parenthesis 4 comma 6 right parenthesis (−6, −4) left parenthesis negative 6 comma negative 4 right parenthesis (−4, 6) left parenthesis negative 4 comma 6 right parenthesis (−6, 4) left parenthesis negative 6 comma 4 right parenthesis
1 answer
To rotate a point \((x, y)\) clockwise about the origin by 90 degrees, you use the following transformation:
\[ (x, y) \rightarrow (y, -x) \]
For the point \((-4, -6)\):
Applying the transformation:
\[ (-4, -6) \rightarrow (-6, 4) \]
Therefore, the new point when \((-4, -6)\) is rotated 90 degrees clockwise about the origin is:
\[ \boxed{(-6, 4)} \]
