Respuesta :

The given equation is

[tex]y-4=5(x+1)[/tex]

To write the equation in standard form, first, we have to use the distributive property.

[tex]y-4=5x+5[/tex]

Now, we subtract 5x and 5 on both sides.

[tex]\begin{gathered} y-4-5x-5=5x+5-5x-5 \\ -5x+y-9=0 \end{gathered}[/tex]

Now, we add 9 on each side

[tex]\begin{gathered} -5x+y-9+9=0+9 \\ -5x+y=9 \end{gathered}[/tex]

Therefore, the standard form of the given equation is

[tex]-5x+y=9[/tex]

Where A = -5, B = 1, and C = 9.