Question

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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

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

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

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

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

Answer 1

To rotate a point \((x, y)\) clockwise about the origin by 90 degrees, you can use the rule:

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

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

1. Identify \(x\) and \(y\):
- \(x = -4\)
- \(y = -6\)

2. Apply the rotation rule:
- The new point will be \((-6, 4)\).

Thus, the rotated point is:

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