Question

Rotate the point (−4, −6)
on a geometric figure 90 degrees counterclockwise. What is the new point?(1 point)
Responses

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

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

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

(6, 4)

Answer 1

To rotate a point \((x, y)\) 90 degrees counterclockwise around the origin, the new coordinates can be calculated using the transformation:

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

Starting with the point \((-4, -6)\):

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

Therefore, the new point after a 90 degrees counterclockwise rotation of the point \((-4, -6)\) is \((-6, -4)\).

The correct response is:

\((-6, -4)\)