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 each side)
Rearrange the terms using commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract 1 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
The line equation in standard form is .