To find the coordinates of point W(−3, 7) after a 90-degree counterclockwise rotation about the origin, we can use the rotation mapping rule for a 90-degree counterclockwise rotation which is:
\[ (x, y) \rightarrow (-y, x) \]
Now, applying this rule to the point W(−3, 7):
-
Identify x and y:
- \(x = -3\)
- \(y = 7\)
-
Apply the rotation rule:
- The new x-coordinate will be \(-y = -7\).
- The new y-coordinate will be \(x = -3\).
Thus, the coordinates of W' after a 90-degree counterclockwise rotation about the origin are:
\[ W'(-7, -3) \]