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

Question

, 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 4 right parenthesis

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

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

(4, 6)

Answer 1

To rotate a point \((x, y)\) 90 degrees clockwise about the origin, you can apply the 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 after the rotation is \((-6, 4)\).

So the correct response is:

\((-6, 4)\)