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 6 comma negative 4 right parenthesis

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

(−6, 4)

Answer 1

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

Given the point \( (-4, 6) \), we apply the transformation:

\[ (-4, 6) \rightarrow (4, -6) \]

Therefore, the resulting point after the 180° counterclockwise rotation around the origin is \( (4, -6) \).

The answer is:

(4, −6) \( \text{left parenthesis 4 comma negative 6 right parenthesis} \)