Rotate a point on a line at (−4, 6) 180° counterclockwise. What is the resulting point? (1 point)

(4, − 6)
(−6, 4)
(−4, − 6)
(6, − 4)

1 answer

To rotate a point 180° counterclockwise around the origin, you can simply negate both the x and y coordinates of the point.

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

  1. Negate the x-coordinate: \(-(-4) = 4\)
  2. Negate the y-coordinate: \(-6\)

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

Thus, the answer is \((4, -6)\).