(4, 1)

Question

is rotated 90°
counterclockwise

Answer 1

To rotate the point \((4, 1)\) by \(90^\circ\) counterclockwise around the origin, you can apply the rotation formula:

\[ (x', y') = (-y, x) \]

Applying this to the point \((4, 1)\):

1. The new \(x\) coordinate will be \(-y\), which is \(-1\).
2. The new \(y\) coordinate will be \(x\), which is \(4\).

Thus, the point \((4, 1)\) after a \(90^\circ\) counterclockwise rotation becomes:

\[ (-1, 4) \]

So, the final answer is \((-1, 4)\).