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)
Responses
A.(−4, 6)
B.(−6, −4)
C.(−6, 4)
D.(4, 6)
To rotate a point (x, y) 90 degrees clockwise about the origin, we can use the following rotation formula:
(x', y') = (y, -x)
Applying this formula to the given point (-4, -6), we get:
x' = -6
y' = -(-4) = 4
Therefore, the new point after rotating (-4, -6) 90 degrees clockwise about the origin is (x', y') = (4, 6).
The correct answer is D. (4, 6).