Question

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)

Answer 1

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).