What would be the resulting coordinates if (-2,3) were rotated 90 degrees clockwise?

1 answer

To rotate a point \((x, y)\) 90 degrees clockwise around the origin, you can use the following formula for the new coordinates:

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

Applying this to the point \((-2, 3)\):

  1. \(x = -2\)
  2. \(y = 3\)

Substituting these values into the formula:

\[ x' = y = 3 \] \[ y' = -x = -(-2) = 2 \]

Thus, the new coordinates after rotating \((-2, 3)\) 90 degrees clockwise are:

\[ (3, 2) \]

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