Rotate the point (−4, −6)

Question

on a geometric figure 90 degrees counterclockwise. What is the new point?(1 point)
Responses

(6, 4)

(6, −4)

(−6, −4)

(−6, 4)

Answer 1

To rotate a point (x, y) 90 degrees counterclockwise around the origin, you can use the transformation:

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

For the point \((-4, -6)\), applying this transformation gives:

\[ (-6, -4) \]

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

\[ (-6, -4) \]

The correct response is: (−6, −4).