
The line equation of standard form is
, where A > 0 and A, B,C are
integers.
\Substitute slope m =
and
in point–slope form line equation.

(Product of two same signs is positive)
(Distributive property:
)
(Cancel common terms) \ \
Rewrite the above equation in standard form,
\
(Subtract y from both sides)
(Commutative property of Addition:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract 1 from both sides)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
The line equation in standard form is
.