Rotate a point on a line at (−4, 6)

Question

180°
counterclockwise. What is the resulting point?(1 point)
Responses

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

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

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

(4, −6)

Answer 1

To rotate a point \( (x, y) \) 180° counterclockwise around the origin, the resulting point will be \( (-x, -y) \).

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

1. Change the sign of the x-coordinate: \( -(-4) = 4 \)
2. Change the sign of the y-coordinate: \( -6 \)

So, the resulting point after a 180° rotation counterclockwise will be \( (4, -6) \).

The answer is \( (4, -6) \).