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Given a point on a line segment (-4,6), what is the new point when the point is rotated clockwise about the origin 90 degrees? (1 point)

(-6, 4)

(4,6)

(-6,-4)

(-4,6)

1 answer

To rotate a point \( (x, y) \) clockwise about the origin by 90 degrees, you can use the transformation:

\[ (x, y) \to (y, -x) \]

For the point \((-4, 6)\):

  1. Identify \( x = -4 \) and \( y = 6 \).
  2. Use the transformation:

\[ (-4, 6) \to (6, -(-4)) = (6, 4) \]

Thus, the new point after rotation is \( (6, 4) \).

However, the answer options provided do not include \( (6, 4) \). It seems the provided question might need clarification, as based on the transformation, the correct rotation does not match the given options.

The closest correct response among your options is actually:

  • (4, 6), but that is not a rotation result.

The resulting transformed point is definitely (6, 4), not listed here, indicating a mismatch.

None of the options provided is actually correct based on the proper transformation.