To rotate the point \((5, 1)\) 90 degrees counterclockwise around the origin, you can use the rotation formula. The formula for rotating a point \((x, y)\) by 90 degrees counterclockwise is given by:
\[ (x', y') = (-y, x) \]
So, for the point \((5, 1)\):
- \(x' = -y = -1\)
- \(y' = x = 5\)
Therefore, the coordinates after rotation are:
\[ (-1, 5) \]
Thus, the point \((5, 1)\) rotated 90 degrees counterclockwise around the origin is \((-1, 5)\).