Give an appointment on a line segment -4, -6 what is the new point when you when it is rotated clockwise about the origin 90°

Answer 1

To find the new point after rotating the line segment (-4, -6) clockwise about the origin 90°, we can use the rotation matrix formula.

Let's denote the original coordinates as (x, y), where x = -4 and y = -6.

The rotation matrix for a 90° clockwise rotation is:
[ cos(90°) -sin(90°) ]
[ sin(90°) cos(90°) ]

Simplifying this matrix gives us:
[ 0 -1 ]
[ 1 0 ]

Multiplying the rotation matrix by the original coordinates (x, y) gives us the new coordinates (x', y'):
x' = (0 * x) + (-1 * y) = -y = -(-6) = 6
y' = (1 * x) + (0 * y) = x = -4

Therefore, the new point when the line segment (-4, -6) is rotated clockwise about the origin 90° is (6, -4).