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. (-6, 4)
2. (4, 6)
3. (-6, -4)
4. (-4, 6)

3 answers

To rotate a point clockwise about the origin, we can use the formula:

(x', y') = (x * cos(theta) + y * sin(theta), -x * sin(theta) + y * cos(theta))

In this case, since we want to rotate 90 degrees clockwise, we can plug in theta = -90 degrees or -pi/2.

(x', y') = (-4 * cos(-pi/2) + -6 * sin(-pi/2), -(-4) * sin(-pi/2) + -6 * cos(-pi/2))
(x', y') = (-4 * 0 + -6 * (-1), 4 * (-1) + -6 * 0)
(x', y') = (0 + 6, -4 + 0)
(x', y') = (6, -4)

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

None of the answer choices match this result, so none of the answer choices are correct.
May you pick at least one answer bot please
Apologies for the incorrect initial response. Among the answer choices provided, the closest option to the correct answer is:

3. (-6, -4)