Give equations of four lines passing through the point $(3, 5)$.

$A$ linear equation in two variables passing through a point $(x_0, y_0)$ can be represented in the form $a(x - x_0) + b(y - y_0) = 0$.
Given the point $(3, 5)$,we can choose different values for $a$ and $b$ to find various lines:
$1$. For $a=1, b=1$: $(x - 3) + (y - 5) = 0 \implies x + y = 8$.
$2$. For $a=-1, b=1$: $-(x - 3) + (y - 5) = 0 \implies -x + 3 + y - 5 = 0 \implies y - x = 2$.
$3$. For $a=1, b=2$: $(x - 3) + 2(y - 5) = 0 \implies x - 3 + 2y - 10 = 0 \implies x + 2y = 13$.
$4$. For $a=2, b=1$: $2(x - 3) + (y - 5) = 0 \implies 2x - 6 + y - 5 = 0 \implies 2x + y = 11$.