Goi PT duong thang cua \(\left(d^`\right)\) co dang la \(y=ax+b\)
Vi \(\left(d^`\right)\perp\left(d\right)\)
\(\Rightarrow2a=-1\)
\(\Leftrightarrow a=-\frac{1}{2}\)
\(\Rightarrow\left(d^`\right):y=-\frac{1}{2}x+b\)
Ma \(\left(d^`\right)\)giao voi diem co toa do la \(A\left(1;-1\right)\)
\(\Rightarrow-1=-\frac{1}{2}.1+b\)
\(\Leftrightarrow b=-\frac{1}{2}\)
\(\Rightarrow\left(d^`\right):y=-\frac{1}{2}x-\frac{1}{2}\)