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?(1 point)
Responses

(−6, −4)
left parenthesis negative 6 comma negative 4 right parenthesis

(4, 6)
left parenthesis 4 comma 6 right parenthesis

(−4, 6)
left parenthesis negative 4 comma 6 right parenthesis

(−6, 4)

Answer 1

To rotate a point \((x, y)\) clockwise 90 degrees about the origin, the new coordinates can be found using the transformation:

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

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

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

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

\[ (-6, 4) \]

So the correct response is:

\((-6, 4)\)