Answer:
![(-5,-4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vjaqcponrqipi664vngk2wuedyn7lwgmoh.png)
Explanation:
I assume that you need the new coordinates of the point after the rotation centered at the origin.
For this exercise it is important to remember the definition of "Rotation".
A Rotation is defined as a transformation which a figure is rotated about a fixed point known as "Center of rotation".
The figure before the transformation is called Pre-Image and the figure obtained after the transformation is called "Image".
The 180 degree rotation about the origin Rule states that:
→
![(-x, -y)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ieyg5uihuwitm798yd3xjnoehzwkc0fb04.png)
Therefore, knowing that the given point (5,4) is rotated 180 degrees clockwise about the origin, you can conclude that its Image is:
![(-5,-4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vjaqcponrqipi664vngk2wuedyn7lwgmoh.png)