rotate a point on a line at (-4, 6) 180 degrees counterclockwise. what is the resulting point?

a. (6, -4)
b. (-6, 4)
c. (-4, -6)
d. (4, -6)

To rotate a point on a line 180 degrees counterclockwise, we need to switch the signs of both the x-coordinate and the y-coordinate.

Given the point (-4, 6), when we switch the signs, the resulting point is (4, -6).

Therefore, the correct answer is d. (4, -6).