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?
a) (-6,4)
b) (-4,6)
c) (-6,-4)
d) (4,6)
To find the new point when the given point is rotated clockwise about the origin 90 degrees, we can use the following formula for a 90 degree rotation in the Cartesian coordinate system:
(x', y') = (-y, x)
In this case, the given point is (-4,-6). Applying the formula, we have:
(x', y') = (-(-6), -4)
(x', y') = (6, -4)
Therefore, the new point is (6, -4).
None of the given answer choices match the new point, so none of the options are correct.