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 4 right parenthesis

(−4, 6)
left parenthesis negative 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 transformation:

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

For the given point \((-4, -6)\), we can apply this transformation:

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

Performing the transformation:

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

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

So the answer is:

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