To rotate a point 90 degrees clockwise around the origin, you can use the transformation for the coordinates. If the original point is \((x, y)\), the new coordinates after a 90-degree clockwise rotation will be \((y, -x)\).
Given point \( A (2, 4) \):
- \( x = 2 \)
- \( y = 4 \)
Now applying the transformation:
- New x-coordinate = \( y = 4 \)
- New y-coordinate = \( -x = -2 \)
So the coordinates of the new point after rotating 90 degrees clockwise would be \( (4, -2) \).
Keep in mind that this new point \( (4, -2) \) is in Quadrant IV since the x-coordinate is positive and the y-coordinate is negative.