The line equation of standard form is , where A > 0 and A, B, C are integers.
Substitute slope m = 1 and in point–slope form line equation
(Product of two same signs is positive)
(Useing distributive property:
)
Rewrite the above equation in standard form,
\ (Subtract y from each side)
(Apply commutative property of Addition: a + b = b + a)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract 3 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
The line equation in standard form is .