Question

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

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

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

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

(−6, 4)

Answer 1

To rotate a point \((x, y)\) about the origin \(90\) degrees clockwise, we can use the following transformation:

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

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

1. Identify \(x = -4\) and \(y = -6\).
2. Apply the transformation:

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

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

The correct response is:

\((-6, 4)\)