$$
\\left\\{
\\begin{aligned}
x_k=x+k*\frac {b} {gcd(a,b)}\\\\
y_k=y-k\*\frac {a} {gcd(a,b)}
\\end{aligned}
\\right.
$$
\\left\\{ \\begin{aligned} x_k=x+k*\frac {b} {gcd(a,b)}\\\\ y_k=y-k\*\frac {a} {gcd(a,b)} \\end{aligned} \\right.
$$
\begin{cases}
x_k=x+k*\frac {b} {gcd(a,b)}\\\\
y_k=y-k*\frac {a} {gcd(a,b)}
\end{cases}
$$
{xk=x+k\*bgcd(a,b)yk=y−k\*agcd(a,b)
