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 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 about the origin by 90 degrees, we can use the following transformation:

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

For the point (-4, -6):

1. Take y = -6 and -x = 4.
2. Therefore, the new point is (-6, 4).

Thus, the answer is:

\((-6, 4)\)