Rotate a point on a line at (-4,6) 180 degrees counterclockwise. What is the resulting point

Answer 1

To rotate a point 180 degrees counterclockwise, we need to reflect it over the x-axis, then reflect it over the y-axis.

First, reflecting over the x-axis will change the y-coordinate to its opposite:

(-4,6) --> (-4,-6)

Next, reflecting over the y-axis will change the x-coordinate to its opposite:

(-4,-6) --> (4,-6)

Therefore, the resulting point is (4,-6).