For this case we must rewrite the equation in standard form:
[tex]Ax + By = C[/tex]
We manipulate the given equation algebraically:
[tex]y-3 = 4x-4[/tex]
We subtract [tex]4x[/tex] on both sides of the equation:
[tex]-4x + y-3 = -4[/tex]
We add 3 to both sides of the equation:
[tex]-4x + y = -4 + 3[/tex]
Different signs are subtracted and the major's sign is placed:
[tex]-4x + y = -1[/tex]
We multiply by -1 on both sides of the equation:
[tex]4x-y = 1[/tex]
Finally, the equation in standard form is:
[tex]4x-y = 1[/tex]
Answer:
[tex]4x-y = 1[/tex]