Question

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 the point \((-4, -6)\) 90 degrees counterclockwise, you can use the rotation formula for a point \((x, y)\) to find the new coordinates after a 90-degree rotation counterclockwise:

The transformation is given by: \[ (x, y) \rightarrow (-y, x) \]

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

1. The new x-coordinate will be \(-(-6) = 6\).
2. The new y-coordinate will be \(-4\).

Therefore, the new point after the rotation is \((6, -4)\).

So, the correct response is: \((6, -4)\) (or left parenthesis 6 comma negative 4 right parenthesis).