To rotate a point on the coordinate plane, we can use a standard rotation formula. Specifically, a 270-degree clockwise rotation can be represented by the equivalent of a 90-degree counterclockwise rotation.
The coordinates \((x, y)\) after a 90-degree counterclockwise rotation about the origin can be transformed using the following formula:
\[ (x, y) \rightarrow (-y, x) \]
Given the point Y(-9, -1), we can apply this transformation:
- Substitute \(y\) with -1 and \(x\) with -9: \[ (-1, -9) \]
So, the new coordinates after a 270-degree clockwise rotation of the point Y(-9, -1) will be:
\[ Y'(-1, -9) \]
Thus, the coordinates of the image of Y after a 270-degree clockwise rotation about the origin are \((-1, -9)\).