What is the image of (-1,-4) after a reflection over the line y=-x

When a point is reflected, it must be reflected over a line.

The image of (-1,-4) after a reflection over the line y=-x is (4,1).

The point is given as:

The rule of reflection over line y = -x is:

So, we have:

Hence, the image of (-1,-4) is (4,1).

Read more about reflections at:

link

Step-by-step explanation:

The point is (-1,-4)

It is reflected over y = - x, So, the coordinate will be like: ( -y , -x )

So, when it is reflected over y = -x , it becomes (4,1)