Rotate a point on a line at (-4,6) 180 degrees counterclockwise. What is the resulting point?
a (-6,4)
b (-4,-6)
c (6,-4)
d (4,-6)
To rotate a point 180 degrees counterclockwise on a coordinate plane, we can change the sign of both the x and y coordinates of the point.
Given the point (-4,6), by changing the sign, we get (4,-6).
Therefore, the resulting point after rotating (-4,6) 180 degrees counterclockwise is (4,-6).
Hence, the correct answer is d) (4,-6).