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 .