Given a point on a line segment (−4, −6)

Question

(
−
4
,

−
6
)
, what is the new point when the point is rotated clockwise about the origin 90 degrees?(1 point)
Responses

(−6, −4)
(
−
6
,

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

(4, 6)
(
4
,

6
)
left parenthesis 4 comma 6 right parenthesis

(−6, 4)
(
−
6
,

4
)
left parenthesis negative 6 comma 4 right parenthesis

(−4, 6)

Answer 1

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

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

Applying this to the point \((-4, -6)\):

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

\[ (-4, -6) \to (-6, -(-4)) = (-6, 4) \]

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

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