Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b,$ and $c$ in each case: $y = x + 5$.

(A) To express the equation $y = x + 5$ in the form $ax + by + c = 0$,we rearrange the terms:
$1$. Subtract $x$ and $5$ from both sides: $-x + y - 5 = 0$.
$2$. Comparing this with the standard form $ax + by + c = 0$,we identify the coefficients:
$a = -1$
$b = 1$
$c = -5$.