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
To rotate a point (-4, -6) clockwise about the origin by 90 degrees, we can use the rotation matrix:
[ 0 1 ]
[-1 0 ]
Multiplying the coordinates of the point (-4, -6) by this matrix gives:
[ 0 1 ][-4] [ 1 ]
[-1 0 ][-6] = [ 4 ]
Therefore, the new point after rotating (-4, -6) clockwise by 90 degrees about the origin is (1, 4).