To find the coordinates of point W after a 90-degree counterclockwise rotation about the origin, we can apply the rotation mapping rule.
For a point \((x, y)\), the coordinates after a 90-degree counterclockwise rotation about the origin are given by the transformation:
\[ (x, y) \to (-y, x) \]
Given that the coordinates of W are \((-3, 7)\), we can apply the transformation:
\[ W(-3, 7) \to W'(-7, -3) \]
Thus, the coordinates of \(W'\) after the rotation are:
\[ W'(-7, -3) \]
So the final answer is:
W′ \((-7, -3)\)