Step-by-step explanation:
Let's pretend our point is actually a complex number. That would make the point -2–3i. Why would we do this? Well, rotation of complex numbers is simply a matter of multiplication, in this case by 1∠−90° , or -i.
So to start, you shift the point of rotation to 0+0i, rotate it by multiplying, then shift it back to the axis of rotation.
z=−i[(−2−x0)+(−3−y0)i]+(x0+iy0)
=−3−y0+x0+(2+x0+y0)i
x=Rz
y=Iz
Thus the new point is at (−3+x0−y0,2+x0+y0)
hence (-3,2)
