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

Answer 1

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

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

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

1. Identify \(x = -4\) and \(y = -6\).
2. Apply the transformation: \[ (x, y) \to (y, -x) \Rightarrow (-6, -(-4)) = (-6, 4) \]

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

So, the correct response is \((-6, 4)\).