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

3 answers

To rotate a point clockwise 90 degrees about the origin, we can use the following formulas:

new_x = old_x * cos(theta) - old_y * sin(theta)
new_y = old_x * sin(theta) + old_y * cos(theta)

Considering the initial point is (-4, -6), we can substitute these values into the formulas:

new_x = -4 * cos(90 degrees) - (-6) * sin(90 degrees)
= -4 * 0 - (-6) * 1
= 6

new_y = -4 * sin(90 degrees) + (-6) * cos(90 degrees)
= -4 * 1 + (-6) * 0
= -4

Therefore, the new point after rotating (-4, -6) clockwise 90 degrees about the origin is (6, -4).
alright i have the answers their all right
8, -5
-6, 4
-8, 5
6 -4
-5, 9
I did the quick check and Joshua is right THANK YOU SO MUCHHHHH