Answer:
Coordinates of the image are (4 , -1)
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))\\ (x_{image},y_{image}) = (4,-1)[/tex]
Hope this helps :)