Find the reflection of $1 + i$ through the line $l$ with endpoints $3$ and $9$.
My approach:
Let AB be a line l with endpoints $(3,0)$ and $(9,0)$. Then, the line l lies along the x-axis so the image of the point $(x, y)$ becomes $(x, -y)$.
So we get $1-i$ as the image of $P(0, 1+i) -> P(0, 1-i)$
Is my approach right, or am I doing something wrong?