Answer to Question #290531 in Complex Analysis for Jwiwjn2

Question

The image of straight line 2x-y+3=0 under the transformation w=z-2 is

Answer 1

W=z-2

u+iv = (x+iy)-2

u=×-2, x = u+2 and v=y

Given the line 2x-y+3=0

2(u+2)-v-3=0

2u+4-v-3=0

2u-v+1=0