Question

Rewrite the equation in Ax+By=C form.Use integers for A, B, and C.y-4=-5(x+1)

Answer 1

The given equation is

`y-4=5(x+1)`

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

`y-4=5x+5`

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

`\begin{gathered} y-4-5x-5=5x+5-5x-5 \\ -5x+y-9=0 \end{gathered}`

Now, we add 9 on each side

`\begin{gathered} -5x+y-9+9=0+9 \\ -5x+y=9 \end{gathered}`

Therefore, the standard form of the given equation is

`-5x+y=9`

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