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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 90 degrees about the origin, the coordinates transform according to the formula:

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

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

  1. Identify \(x\) and \(y\): \(x = -4\) and \(y = -6\).
  2. Apply the rotation formula:

\[ (-4, -6) \rightarrow (-6, 4) \]

Thus, the new point after rotating \((-4, -6)\) clockwise 90 degrees about the origin is \((-6, 4)\).

So the correct answer is \((-6, 4)\).