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)
To rotate a point clockwise about the origin 90 degrees, we can use the following formula:
(x', y') = (x*cos(θ) - y*sin(θ), x*sin(θ) + y*cos(θ))
where (x, y) is the original point, (x', y') is the rotated point, and θ is the angle of rotation.
Using the given point (-4, -6), we have:
(x, y) = (-4, -6)
Plugging this values into the rotation formula:
(x', y') = (-4*cos(90) - (-6)*sin(90), -4*sin(90) + (-6)*cos(90))
We know that cos(90) = 0 and sin(90) = 1, so the formula becomes:
(x', y') = (-4*0 - (-6)*1, -4*1 + (-6)*0)
= (0 + 6, -4 + 0)
= (6, -4)
Therefore, the new point when the point (-4, -6) is rotated clockwise about the origin 90 degrees is (6, -4).