
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.

(Distributive property:
)
(Additive identity property:
)
Rewrite the above equation in standard form,
\
(Add 2x to both sides)
(Additive inverse property:
)
(Add 5 to both sides)
(Commutative property of Addition:
)
(Additive inverse property:
)
(Additive identity property:
)
\ \
The line equation in standard form is
. \ \