Answer: Coordinates of the image are (-2 , -1)
Step-by-step explanation:
The rule for 180° rotation counterclockwise is:
(x , y) ⇒ (-x , -y)
This means that to get the coordinates of a point rotated 180° counterclockwise, all you have to do is flip the signs of both the x and the y
Now, we are given the point (-4 , 1)
Applying the above rule:
[tex]( x image, y image) = (-(-4),-(1))[/tex]
[tex](x image, y image) =(-2, -1)[/tex]