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 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

Answer 1

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 \((-4, -6)\):

1. \(x = -4\)
2. \(y = -6\)

Applying the transformation:

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

Therefore, the new point when \((-4, -6)\) is rotated 90 degrees clockwise about the origin is:

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